The Experts below are selected from a list of 129318 Experts worldwide ranked by ideXlab platform
Chao-qing Dai - One of the best experts on this subject based on the ideXlab platform.
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Vector combined and crossing Kuznetsov–Ma solitons in $\mathcal {PT}$ PT -symmetric coupled waveguides
Nonlinear Dynamics, 2016Co-Authors: Yu Zhu, Quan-tao Liu, Jin-zhong Han, Yue-yue Wang, Chao-qing DaiAbstract:A variable-coefficient coupled nonlinear Schrodinger equation with balanced gain and loss is studied, and two kinds of analytical Kuznetsov–Ma soliton solutions including combined Kuznetsov–Ma soliton solution and crossing two-Kuznetsov–Ma soliton solution are obtained. In a diffraction decreasing system, the control for the excitation of two kinds of Kuznetsov–Ma soliton including rear excitation, peak excitation and initial excitation is investigated. The different peak locations of Kuznetsov–Ma soliton along the propagation direction appear repeatedly, which makes rear excitation, peak excitation and initial excitation happen again and again.
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vector combined and crossing Kuznetsov ma solitons in mathcal pt pt symmetric coupled waveguides
Nonlinear Dynamics, 2016Co-Authors: Yu Zhu, Quan-tao Liu, Jin-zhong Han, Yue-yue Wang, Chao-qing DaiAbstract:A variable-coefficient coupled nonlinear Schrodinger equation with balanced gain and loss is studied, and two kinds of analytical Kuznetsov–Ma soliton solutions including combined Kuznetsov–Ma soliton solution and crossing two-Kuznetsov–Ma soliton solution are obtained. In a diffraction decreasing system, the control for the excitation of two kinds of Kuznetsov–Ma soliton including rear excitation, peak excitation and initial excitation is investigated. The different peak locations of Kuznetsov–Ma soliton along the propagation direction appear repeatedly, which makes rear excitation, peak excitation and initial excitation happen again and again.
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controllable combined peregrine soliton and Kuznetsov ma soliton in varvec mathcal pt symmetric nonlinear couplers with gain and loss
Nonlinear Dynamics, 2015Co-Authors: Chao-qing Dai, Yue-yue WangAbstract:We investigate a (2+1)-dimensional-coupled variable coefficient nonlinear Schrodinger equation in parity time symmetric nonlinear couplers with gain and loss and analytically obtain a combined structure solution via the Darboux transformation method. When the imaginary part of the eigenvalue \(n\) is smaller or bigger than 1, we can obtain the combined Peregrine soliton and Akhmediev breather, or Kuznetsov–Ma soliton, respectively. Moreover, we study the controllable behaviors of this combined Peregrine soliton and Kuznetsov–Ma soliton structure in a diffraction decreasing system with exponential profile. In this system, the effective propagation distance \(Z\) exists a maximal value \(Z_m\) and the maximum amplitude of the KM soliton appears in the periodic locations \(Z_{i}\). By modulating the relation between values of \(Z_m\) and \(Z_i\), we realize the control for the excitation of the combined Peregrine soliton and Kuznetsov–Ma soliton, such as the restraint, maintenance, and postpone.
Yue-yue Wang - One of the best experts on this subject based on the ideXlab platform.
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Vector combined and crossing Kuznetsov–Ma solitons in $\mathcal {PT}$ PT -symmetric coupled waveguides
Nonlinear Dynamics, 2016Co-Authors: Yu Zhu, Quan-tao Liu, Jin-zhong Han, Yue-yue Wang, Chao-qing DaiAbstract:A variable-coefficient coupled nonlinear Schrodinger equation with balanced gain and loss is studied, and two kinds of analytical Kuznetsov–Ma soliton solutions including combined Kuznetsov–Ma soliton solution and crossing two-Kuznetsov–Ma soliton solution are obtained. In a diffraction decreasing system, the control for the excitation of two kinds of Kuznetsov–Ma soliton including rear excitation, peak excitation and initial excitation is investigated. The different peak locations of Kuznetsov–Ma soliton along the propagation direction appear repeatedly, which makes rear excitation, peak excitation and initial excitation happen again and again.
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vector combined and crossing Kuznetsov ma solitons in mathcal pt pt symmetric coupled waveguides
Nonlinear Dynamics, 2016Co-Authors: Yu Zhu, Quan-tao Liu, Jin-zhong Han, Yue-yue Wang, Chao-qing DaiAbstract:A variable-coefficient coupled nonlinear Schrodinger equation with balanced gain and loss is studied, and two kinds of analytical Kuznetsov–Ma soliton solutions including combined Kuznetsov–Ma soliton solution and crossing two-Kuznetsov–Ma soliton solution are obtained. In a diffraction decreasing system, the control for the excitation of two kinds of Kuznetsov–Ma soliton including rear excitation, peak excitation and initial excitation is investigated. The different peak locations of Kuznetsov–Ma soliton along the propagation direction appear repeatedly, which makes rear excitation, peak excitation and initial excitation happen again and again.
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controllable combined peregrine soliton and Kuznetsov ma soliton in varvec mathcal pt symmetric nonlinear couplers with gain and loss
Nonlinear Dynamics, 2015Co-Authors: Chao-qing Dai, Yue-yue WangAbstract:We investigate a (2+1)-dimensional-coupled variable coefficient nonlinear Schrodinger equation in parity time symmetric nonlinear couplers with gain and loss and analytically obtain a combined structure solution via the Darboux transformation method. When the imaginary part of the eigenvalue \(n\) is smaller or bigger than 1, we can obtain the combined Peregrine soliton and Akhmediev breather, or Kuznetsov–Ma soliton, respectively. Moreover, we study the controllable behaviors of this combined Peregrine soliton and Kuznetsov–Ma soliton structure in a diffraction decreasing system with exponential profile. In this system, the effective propagation distance \(Z\) exists a maximal value \(Z_m\) and the maximum amplitude of the KM soliton appears in the periodic locations \(Z_{i}\). By modulating the relation between values of \(Z_m\) and \(Z_i\), we realize the control for the excitation of the combined Peregrine soliton and Kuznetsov–Ma soliton, such as the restraint, maintenance, and postpone.
Yunfeng Jiang - One of the best experts on this subject based on the ideXlab platform.
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nonlinear tunnelling effect of combined Kuznetsov ma soliton in 3 1 dimensional varvec mathcal pt symmetric inhomogeneous nonlinear couplers with gain and loss
Nonlinear Dynamics, 2015Co-Authors: Yixiang Chen, Yunfeng JiangAbstract:A (3+1)-dimensional variable-coefficient coupled nonlinear Schrodinger equation in parity-time symmetric inhomogeneous nonlinear couplers with gain and loss is studied, and the \({\mathcal {PT}}\)-symmetric and \({\mathcal {PT}}\)-antisymmetric combined Kuznetsov–Ma soliton solutions are obtained via the Darboux transformation method. Nonlinear tunnelling effect of controllable combined Kuznetsov–Ma solitons such as their restraint, maintenance and postpone are discussed when they pass through the dispersion/diffraction barrier and well.
Yu Zhu - One of the best experts on this subject based on the ideXlab platform.
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Vector combined and crossing Kuznetsov–Ma solitons in $\mathcal {PT}$ PT -symmetric coupled waveguides
Nonlinear Dynamics, 2016Co-Authors: Yu Zhu, Quan-tao Liu, Jin-zhong Han, Yue-yue Wang, Chao-qing DaiAbstract:A variable-coefficient coupled nonlinear Schrodinger equation with balanced gain and loss is studied, and two kinds of analytical Kuznetsov–Ma soliton solutions including combined Kuznetsov–Ma soliton solution and crossing two-Kuznetsov–Ma soliton solution are obtained. In a diffraction decreasing system, the control for the excitation of two kinds of Kuznetsov–Ma soliton including rear excitation, peak excitation and initial excitation is investigated. The different peak locations of Kuznetsov–Ma soliton along the propagation direction appear repeatedly, which makes rear excitation, peak excitation and initial excitation happen again and again.
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vector combined and crossing Kuznetsov ma solitons in mathcal pt pt symmetric coupled waveguides
Nonlinear Dynamics, 2016Co-Authors: Yu Zhu, Quan-tao Liu, Jin-zhong Han, Yue-yue Wang, Chao-qing DaiAbstract:A variable-coefficient coupled nonlinear Schrodinger equation with balanced gain and loss is studied, and two kinds of analytical Kuznetsov–Ma soliton solutions including combined Kuznetsov–Ma soliton solution and crossing two-Kuznetsov–Ma soliton solution are obtained. In a diffraction decreasing system, the control for the excitation of two kinds of Kuznetsov–Ma soliton including rear excitation, peak excitation and initial excitation is investigated. The different peak locations of Kuznetsov–Ma soliton along the propagation direction appear repeatedly, which makes rear excitation, peak excitation and initial excitation happen again and again.
Yixiang Chen - One of the best experts on this subject based on the ideXlab platform.
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nonlinear tunnelling effect of combined Kuznetsov ma soliton in 3 1 dimensional varvec mathcal pt symmetric inhomogeneous nonlinear couplers with gain and loss
Nonlinear Dynamics, 2015Co-Authors: Yixiang Chen, Yunfeng JiangAbstract:A (3+1)-dimensional variable-coefficient coupled nonlinear Schrodinger equation in parity-time symmetric inhomogeneous nonlinear couplers with gain and loss is studied, and the \({\mathcal {PT}}\)-symmetric and \({\mathcal {PT}}\)-antisymmetric combined Kuznetsov–Ma soliton solutions are obtained via the Darboux transformation method. Nonlinear tunnelling effect of controllable combined Kuznetsov–Ma solitons such as their restraint, maintenance and postpone are discussed when they pass through the dispersion/diffraction barrier and well.
