The Experts below are selected from a list of 24141 Experts worldwide ranked by ideXlab platform
Anjan Biswas - One of the best experts on this subject based on the ideXlab platform.
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TOPOLOGICAL AND NON-TOPOLOGICAL SOLITON SOLUTIONS OF THE BRETHERTON EQUATION
2012Co-Authors: Houria Triki, Ahmet Yildirim, Tasawar Hayat, Omar M. Aldossar, Anjan BiswasAbstract:This paper studies the topological and non-topological 1-soliton solutions to the Bretherton equation. The solitary wave ansatz method, also known as the trial solution method, is used to carry out the integration of the this equation. The 1-soliton solution as well as the shock wave solution is retrieved using this method. The Constraint Relation between the parameters and coefficients are also obtained for the existence of these kinds of nonlinear waves.
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solitons in alpha helix proteins by he s variational principle
International Journal of Biomathematics, 2011Co-Authors: Anjan Biswas, Daniela Milovic, Dejan MilicAbstract:This paper studies the dynamics of solitons due to solitons in α-helix proteins. The analysis is going to be carried out by the aid of He's semi-inverse variational principle. The Constraint Relation between the soliton parameters will also be determined in order for the soliton to exist.
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Optical solitons with time-dependent dispersion, nonlinearity and attenuation in a power-law media
Communications in Nonlinear Science and Numerical Simulation, 2009Co-Authors: Anjan BiswasAbstract:This paper obtains the 1-soliton solution of the nonlinear Schrodinger’s equation with Kerr law nonlinearity and time-dependent dispersion, nonlinearity and attenuation. The solitary wave ansatze is used to obtain this solution. The Constraint Relation between these time-dependent coefficients is also obtained for the solitons to exist. The variation of the soliton velocity also falls out by this method.
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Dynamics of topological optical solitons with time-dependent dispersion, nonlinearity and attenuation
Communications in Nonlinear Science and Numerical Simulation, 2009Co-Authors: Benjamin J.m. Sturdevant, Dawn A. Lott, Anjan BiswasAbstract:Abstract In this paper, the dark or topological optical 1-soliton solution of the nonlinear Schrodinger’s equation is obtained. The time-dependent coefficients of the group velocity dispersion, Kerr nonlinearity and the attenuation terms are considered. This leads to the Constraint Relation between these coefficients for the topological solitons to exist. All what is necessary is that these time-dependent coefficients be simply Riemann integrable.
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1-Soliton solution of the generalized Zakharov–Kuznetsov equation with nonlinear dispersion and time-dependent coefficients
Physics Letters A, 2009Co-Authors: Anjan BiswasAbstract:Abstract In this Letter, the 1-soliton solution of the Zakharov–Kuznetsov equation with power law nonlinearity and nonlinear dispersion along with time-dependent coefficients is obtained. There are two models for this kind of an equation that are studied. The Constraint Relation between these time-dependent coefficients is established for the solitons to exist. Subsequently, this equation is again analysed with generalized evolution. The solitary wave ansatz is used to carry out this investigation.
Benjamin J.m. Sturdevant - One of the best experts on this subject based on the ideXlab platform.
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Dynamics of topological optical solitons with time-dependent dispersion, nonlinearity and attenuation
Communications in Nonlinear Science and Numerical Simulation, 2009Co-Authors: Benjamin J.m. Sturdevant, Dawn A. Lott, Anjan BiswasAbstract:Abstract In this paper, the dark or topological optical 1-soliton solution of the nonlinear Schrodinger’s equation is obtained. The time-dependent coefficients of the group velocity dispersion, Kerr nonlinearity and the attenuation terms are considered. This leads to the Constraint Relation between these coefficients for the topological solitons to exist. All what is necessary is that these time-dependent coefficients be simply Riemann integrable.
Emmanuel Yomba - One of the best experts on this subject based on the ideXlab platform.
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jacobi elliptic function solutions of the generalized zakharov kuznetsov equation with nonlinear dispersion and t dependent coefficients
Physics Letters A, 2010Co-Authors: Emmanuel YombaAbstract:Abstract An indirect F-function method is introduced to solve the Zakharov–Kuznetsov equation with power law nonlinearity and nonlinear dispersion along with time-dependent coefficients. Taking advantage of the elliptic equation, this F-function is used to map the solution of the Zakharov–Kuznetsov equation to those of the elliptic equation. As a result, we obtain exact spatiotemporal periodic traveling solutions. Two forms of this model are studied. The Constraint Relation between these time-dependent coefficients is established for the Jacobi elliptic function solutions to exist. This equation is then investigated with generalized evolution.
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Jacobi elliptic function solutions of the generalized Zakharov–Kuznetsov equation with nonlinear dispersion and t-dependent coefficients
Physics Letters A, 2010Co-Authors: Emmanuel YombaAbstract:Abstract An indirect F-function method is introduced to solve the Zakharov–Kuznetsov equation with power law nonlinearity and nonlinear dispersion along with time-dependent coefficients. Taking advantage of the elliptic equation, this F-function is used to map the solution of the Zakharov–Kuznetsov equation to those of the elliptic equation. As a result, we obtain exact spatiotemporal periodic traveling solutions. Two forms of this model are studied. The Constraint Relation between these time-dependent coefficients is established for the Jacobi elliptic function solutions to exist. This equation is then investigated with generalized evolution.
Dawn A. Lott - One of the best experts on this subject based on the ideXlab platform.
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Dynamics of topological optical solitons with time-dependent dispersion, nonlinearity and attenuation
Communications in Nonlinear Science and Numerical Simulation, 2009Co-Authors: Benjamin J.m. Sturdevant, Dawn A. Lott, Anjan BiswasAbstract:Abstract In this paper, the dark or topological optical 1-soliton solution of the nonlinear Schrodinger’s equation is obtained. The time-dependent coefficients of the group velocity dispersion, Kerr nonlinearity and the attenuation terms are considered. This leads to the Constraint Relation between these coefficients for the topological solitons to exist. All what is necessary is that these time-dependent coefficients be simply Riemann integrable.
Chang-pu Sun - One of the best experts on this subject based on the ideXlab platform.
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Universal Constraint for efficiency and power of a low-dissipation heat engine
Physical Review E, 2018Co-Authors: Hui Dong, Chang-pu SunAbstract:The Constraint Relation for efficiency and power is crucial for the design of optimal heat engines operating within finite time. We find a universal Constraint between efficiency and output power for heat engines operating in the low-dissipation regime. Such a Constraint is validated with an example of a Carnot-like engine. Its microscopic dynamics is governed by the master equation. Based on the master equation, we connect the microscopic coupling strengths to the generic parameters in the phenomenological model. We find the usual assumption of low-dissipation is achieved when the coupling to thermal environments is stronger than the driving speed. Additionally, such a connection allows the design of a practical cycle to optimize the engine performance.
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Universal Constraint for efficiency and power of a heat engine
arXiv: Quantum Physics, 2018Co-Authors: Hui Dong, Chang-pu SunAbstract:The Constraint Relation for efficiency and power is crucial to design optimal heat engines operating within finite time, yet remains missing. We find a universal Constraint between efficiency and output power for heat engines in low dissipation region with a phenomenological model. Such Constraint is validated with an example of a Carnot-like engine. Its microscopic dynamics is governed by the master equation. Based on the master equation, we connect the microscopic coupling strengths to the generic parameters in the phenomenological model. We find the usual assumption of low dissipation is achieved with strong coupling to thermal environments. Additionally, such connection allows the design practical cycle to optimize the engine performance.