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Anjan Biswas - One of the best experts on this subject based on the ideXlab platform.
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soliton perturbation and conservation Laws in magneto optic waveguides with Parabolic Law nonlinearity
Optik, 2020Co-Authors: Anjan Biswas, Mehmet Ekici, Elsayed M E Zayed, Mir Asma, A H Kara, Abdullah Kamis Alzahrani, Milivoj BelicAbstract:Abstract This paper secures bright and singular perturbed optical solitons in magneto-optic waveguides, having Parabolic form of nonlinearity, with traveling wave hypothesis. The conservation Laws are subsequently obtained by the multiplier approach and the three conserved quantities are finally listed.
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optical solitons in fiber bragg gratings with dispersive reflectivity for Parabolic Law nonlinearity using undetermined coefficients
Optik, 2019Co-Authors: Seithuti P Moshokoa, Anjan Biswas, Mehmet Ekici, Qin Zhou, Mohammad F Mahmood, Jose Vegaguzman, Milivoj BelicAbstract:Abstract This paper reveals bright, dark and singular solitons in fiber Bragg gratings with dispersive reflectivity having Parabolic form of nonlinearity. The method of undetermined coefficients yielded such soliton solutions. The existence criteria of such solitons are also enumerated that are listed as constraint conditions.
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optical solitons in fiber bragg gratings with dispersive reflectivity for Parabolic Law nonlinearity by extended trial function method
Optik, 2019Co-Authors: Mehmet Ekici, Anjan Biswas, Abdullah Sonmezoglu, Milivoj BelicAbstract:Abstract This paper applies extended trial function scheme to retrieve bright and singular optical soliton solutions to fiber Bragg gratings that maintains Parabolic Law nonlinearity. The existence criteria for the solitons are presented. Additional solutions, such as rational waves and periodic solutions, naturally emerge from the scheme as a byproduct.
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solitons in nonlinear directional couplers with optical metamaterials by exp φ ξ expansion
Optik, 2019Co-Authors: Saima Arshed, Seithuti P Moshokoa, Anjan Biswas, Mehmet Ekici, Qin Zhou, Mohanad Alfiras, Salam Khan, Milivoj BelicAbstract:Abstract This paper studies solitons in optical couplers that are made up from metamaterials. Twin core as well as multiple-core couplers are considered. The study is conducted by the aid of exp(− Φ(ξ))-expansion scheme for four forms of nonlinearity and they are Kerr Law, power Law, Parabolic Law and dual-power Law. Singular and combo-soliton solutions are recovered from this algorithm.
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oblique resonant optical solitons with kerr and Parabolic Law nonlinearities and fractional temporal evolution by generalized exp φ ξ expansion
Optik, 2019Co-Authors: F Ferdous, Seithuti P Moshokoa, Anjan Biswas, Mehmet Ekici, Qin Zhou, M G Hafez, Mohanad Alfiras, Milivoj BelicAbstract:Abstract This work studies fractional temporal evolution of oblique resonant optical solitons in (3+1)-dimensions with Kerr- and Parabolic-Law nonlinearities. The generalized exp(−Φ(ξ))-expansion method along with the Khalil's conformable fractional derivatives is implemented to locate several forms of oblique resonant solitons. It is observed that obliqueness significantly modified resonant wave dynamics. The obtained results are very useful for understanding the dynamics of obliquely propagating resonant optical solitons and optical bullets.
Qin Zhou - One of the best experts on this subject based on the ideXlab platform.
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optical solitons in fiber bragg gratings with dispersive reflectivity for Parabolic Law nonlinearity using undetermined coefficients
Optik, 2019Co-Authors: Seithuti P Moshokoa, Anjan Biswas, Mehmet Ekici, Qin Zhou, Mohammad F Mahmood, Jose Vegaguzman, Milivoj BelicAbstract:Abstract This paper reveals bright, dark and singular solitons in fiber Bragg gratings with dispersive reflectivity having Parabolic form of nonlinearity. The method of undetermined coefficients yielded such soliton solutions. The existence criteria of such solitons are also enumerated that are listed as constraint conditions.
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solitons in nonlinear directional couplers with optical metamaterials by exp φ ξ expansion
Optik, 2019Co-Authors: Saima Arshed, Seithuti P Moshokoa, Anjan Biswas, Mehmet Ekici, Qin Zhou, Mohanad Alfiras, Salam Khan, Milivoj BelicAbstract:Abstract This paper studies solitons in optical couplers that are made up from metamaterials. Twin core as well as multiple-core couplers are considered. The study is conducted by the aid of exp(− Φ(ξ))-expansion scheme for four forms of nonlinearity and they are Kerr Law, power Law, Parabolic Law and dual-power Law. Singular and combo-soliton solutions are recovered from this algorithm.
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oblique resonant optical solitons with kerr and Parabolic Law nonlinearities and fractional temporal evolution by generalized exp φ ξ expansion
Optik, 2019Co-Authors: F Ferdous, Seithuti P Moshokoa, Anjan Biswas, Mehmet Ekici, Qin Zhou, M G Hafez, Mohanad Alfiras, Milivoj BelicAbstract:Abstract This work studies fractional temporal evolution of oblique resonant optical solitons in (3+1)-dimensions with Kerr- and Parabolic-Law nonlinearities. The generalized exp(−Φ(ξ))-expansion method along with the Khalil's conformable fractional derivatives is implemented to locate several forms of oblique resonant solitons. It is observed that obliqueness significantly modified resonant wave dynamics. The obtained results are very useful for understanding the dynamics of obliquely propagating resonant optical solitons and optical bullets.
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optical solitons in Parabolic Law medium with weak non local nonlinearity using modified extended direct algebraic method
Optik, 2018Co-Authors: Malwe Boudoue Hubert, Mibaile Justin, Gambo Betchewe, Serge Y. Doka, Ali Saleh Alshomrani, Anjan Biswas, Qin Zhou, Mehmet EkiciAbstract:Abstract This paper obtains bright and dark-singular combo optical solitons in a Parabolic Law medium that is coupled with weak non-local nonlinearity. The method of modified extended direct algebraic method is applied to secure these soliton solutions. Additionally, several other solutions in terms of elliptic functions naturally fall out of the integration scheme as a byproduct.
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optical solitons with differential group delay by trial equation method
Optik, 2018Co-Authors: Seithuti P Moshokoa, Anjan Biswas, Qin Zhou, Yakup Yıldırım, Emrullah Yasar, Milivoj BelicAbstract:Abstract This paper secures bright, dark and singualr soliton solutions in birefringent fibers. Both Kerr Law and Parabolic Law nonlinearity are studied. The trial equation method successfully retrieves these solitons with constraint relations that assure their existence.
Milivoj Belic - One of the best experts on this subject based on the ideXlab platform.
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soliton perturbation and conservation Laws in magneto optic waveguides with Parabolic Law nonlinearity
Optik, 2020Co-Authors: Anjan Biswas, Mehmet Ekici, Elsayed M E Zayed, Mir Asma, A H Kara, Abdullah Kamis Alzahrani, Milivoj BelicAbstract:Abstract This paper secures bright and singular perturbed optical solitons in magneto-optic waveguides, having Parabolic form of nonlinearity, with traveling wave hypothesis. The conservation Laws are subsequently obtained by the multiplier approach and the three conserved quantities are finally listed.
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optical solitons in fiber bragg gratings with dispersive reflectivity for Parabolic Law nonlinearity using undetermined coefficients
Optik, 2019Co-Authors: Seithuti P Moshokoa, Anjan Biswas, Mehmet Ekici, Qin Zhou, Mohammad F Mahmood, Jose Vegaguzman, Milivoj BelicAbstract:Abstract This paper reveals bright, dark and singular solitons in fiber Bragg gratings with dispersive reflectivity having Parabolic form of nonlinearity. The method of undetermined coefficients yielded such soliton solutions. The existence criteria of such solitons are also enumerated that are listed as constraint conditions.
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optical solitons in fiber bragg gratings with dispersive reflectivity for Parabolic Law nonlinearity by extended trial function method
Optik, 2019Co-Authors: Mehmet Ekici, Anjan Biswas, Abdullah Sonmezoglu, Milivoj BelicAbstract:Abstract This paper applies extended trial function scheme to retrieve bright and singular optical soliton solutions to fiber Bragg gratings that maintains Parabolic Law nonlinearity. The existence criteria for the solitons are presented. Additional solutions, such as rational waves and periodic solutions, naturally emerge from the scheme as a byproduct.
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oblique resonant optical solitons with kerr and Parabolic Law nonlinearities and fractional temporal evolution by generalized exp φ ξ expansion
Optik, 2019Co-Authors: F Ferdous, Seithuti P Moshokoa, Anjan Biswas, Mehmet Ekici, Qin Zhou, M G Hafez, Mohanad Alfiras, Milivoj BelicAbstract:Abstract This work studies fractional temporal evolution of oblique resonant optical solitons in (3+1)-dimensions with Kerr- and Parabolic-Law nonlinearities. The generalized exp(−Φ(ξ))-expansion method along with the Khalil's conformable fractional derivatives is implemented to locate several forms of oblique resonant solitons. It is observed that obliqueness significantly modified resonant wave dynamics. The obtained results are very useful for understanding the dynamics of obliquely propagating resonant optical solitons and optical bullets.
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solitons in nonlinear directional couplers with optical metamaterials by exp φ ξ expansion
Optik, 2019Co-Authors: Saima Arshed, Seithuti P Moshokoa, Anjan Biswas, Mehmet Ekici, Qin Zhou, Mohanad Alfiras, Salam Khan, Milivoj BelicAbstract:Abstract This paper studies solitons in optical couplers that are made up from metamaterials. Twin core as well as multiple-core couplers are considered. The study is conducted by the aid of exp(− Φ(ξ))-expansion scheme for four forms of nonlinearity and they are Kerr Law, power Law, Parabolic Law and dual-power Law. Singular and combo-soliton solutions are recovered from this algorithm.
Mohammad Mirzazadeh - One of the best experts on this subject based on the ideXlab platform.
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explicit solitons in the Parabolic Law nonlinear negative index materials
Nonlinear Dynamics, 2017Co-Authors: Abdullah Sonmezoglu, Mohammad Mirzazadeh, Mehmet Ekici, Min Yao, Qin ZhouAbstract:This paper deals with the existence of explicit ultra-short solitons in the negative-index materials with third-order dispersion and higher-order nonlinearities. Four integration algorithms, that are the improved modified extended tanh-function method, the extended trial equation method, the extended Jacobi elliptic function expansion method and the \(\exp \left( -\Phi \left( \eta \right) \right) \)-expansion method, are employed to extract analytical traveling wave solutions. The presented results show that exact solitons can exist in this physical model.
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optical solitons with higher order dispersions in Parabolic Law medium by trial solution approach
Optik, 2016Co-Authors: Ahmed H. Arnous, Mohammad Mirzazadeh, Seithuti P Moshokoa, Anjan Biswas, Qin Zhou, Milivoj BelicAbstract:Abstract This paper obtains bright, dark and singular soliton solutions in optical fibers with Parabolic Law nonlinearity in the presence of third and fourth order dispersions. The trial solutions approach is employed to carry out this integration. Besides solitons, periodic singular solutions are also obtained as a byproduct. The corresponding constraint conditions are also listed.
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optical soliton perturbation with fractional temporal evolution by first integral method with conformable fractional derivatives
Optik, 2016Co-Authors: Mehmet Ekici, Mohammad Mirzazadeh, Seithuti P Moshokoa, Anjan Biswas, Qin Zhou, Mostafa Eslami, Milivoj BelicAbstract:Abstract This paper studies optical solitons with fractional temporal evolution in presence of Hamiltonian perturbation terms. The three types of nonlinearity are Kerr Law, Parabolic Law and dual-power Law. The first integral method with conformable fractional derivative is applied to retrieve soliton solutions to the model. Several constraint conditions guarantee the existence of such solitons.
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analytical study of solitons in non kerr nonlinear negative index materials
Nonlinear Dynamics, 2016Co-Authors: Qin Zhou, Mohammad Mirzazadeh, Mehmet Ekici, Abdullah SonmezogluAbstract:We study the dynamics of optical solitons in negative-index materials with non-Kerr nonlinearity and third-order dispersion. Three types of non-Kerr Law nonlinearities are considered. They are power Law, Parabolic Law and dual-power Law. With the help of the extended trial equation method, various families of solitons including bright, dark and singular solitons are derived. The presented results could provide a method and technique in ultra-short optical soliton control in various kinds of non-Kerr Law nonlinear negative-index materials.
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Soliton solutions to resonant nonlinear schrodinger's equation with time-dependent coefficients by modified simple equation method
Optik, 2016Co-Authors: Ahmed H. Arnous, Mohammad Mirzazadeh, Seithuti P Moshokoa, Anjan Biswas, Qin Zhou, Milivoj R. BelićAbstract:Abstract This paper studies resonant nonlinear Schrodinger's equation with time-dependent coefficients and four forms of nonlinear media. They are Kerr Law, power Law, Parabolic Law and dual-power Law. Soliton solutions are recovered by the aid of modified simple equation method.
Mehmet Ekici - One of the best experts on this subject based on the ideXlab platform.
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soliton perturbation and conservation Laws in magneto optic waveguides with Parabolic Law nonlinearity
Optik, 2020Co-Authors: Anjan Biswas, Mehmet Ekici, Elsayed M E Zayed, Mir Asma, A H Kara, Abdullah Kamis Alzahrani, Milivoj BelicAbstract:Abstract This paper secures bright and singular perturbed optical solitons in magneto-optic waveguides, having Parabolic form of nonlinearity, with traveling wave hypothesis. The conservation Laws are subsequently obtained by the multiplier approach and the three conserved quantities are finally listed.
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optical solitons in fiber bragg gratings with dispersive reflectivity for Parabolic Law nonlinearity using undetermined coefficients
Optik, 2019Co-Authors: Seithuti P Moshokoa, Anjan Biswas, Mehmet Ekici, Qin Zhou, Mohammad F Mahmood, Jose Vegaguzman, Milivoj BelicAbstract:Abstract This paper reveals bright, dark and singular solitons in fiber Bragg gratings with dispersive reflectivity having Parabolic form of nonlinearity. The method of undetermined coefficients yielded such soliton solutions. The existence criteria of such solitons are also enumerated that are listed as constraint conditions.
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optical solitons in fiber bragg gratings with dispersive reflectivity for Parabolic Law nonlinearity by extended trial function method
Optik, 2019Co-Authors: Mehmet Ekici, Anjan Biswas, Abdullah Sonmezoglu, Milivoj BelicAbstract:Abstract This paper applies extended trial function scheme to retrieve bright and singular optical soliton solutions to fiber Bragg gratings that maintains Parabolic Law nonlinearity. The existence criteria for the solitons are presented. Additional solutions, such as rational waves and periodic solutions, naturally emerge from the scheme as a byproduct.
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oblique resonant optical solitons with kerr and Parabolic Law nonlinearities and fractional temporal evolution by generalized exp φ ξ expansion
Optik, 2019Co-Authors: F Ferdous, Seithuti P Moshokoa, Anjan Biswas, Mehmet Ekici, Qin Zhou, M G Hafez, Mohanad Alfiras, Milivoj BelicAbstract:Abstract This work studies fractional temporal evolution of oblique resonant optical solitons in (3+1)-dimensions with Kerr- and Parabolic-Law nonlinearities. The generalized exp(−Φ(ξ))-expansion method along with the Khalil's conformable fractional derivatives is implemented to locate several forms of oblique resonant solitons. It is observed that obliqueness significantly modified resonant wave dynamics. The obtained results are very useful for understanding the dynamics of obliquely propagating resonant optical solitons and optical bullets.
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solitons in nonlinear directional couplers with optical metamaterials by exp φ ξ expansion
Optik, 2019Co-Authors: Saima Arshed, Seithuti P Moshokoa, Anjan Biswas, Mehmet Ekici, Qin Zhou, Mohanad Alfiras, Salam Khan, Milivoj BelicAbstract:Abstract This paper studies solitons in optical couplers that are made up from metamaterials. Twin core as well as multiple-core couplers are considered. The study is conducted by the aid of exp(− Φ(ξ))-expansion scheme for four forms of nonlinearity and they are Kerr Law, power Law, Parabolic Law and dual-power Law. Singular and combo-soliton solutions are recovered from this algorithm.
