Lax pair, Darboux-dressing transformation and localized waves of the coupled mixed derivative nonlinear Schrödinger equation in a birefringent optical fiber

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106414 ◽

2020 ◽

Vol 107 ◽

pp. 106414 ◽

Author(s):

Xue-Wei Yan

Keyword(s):

Schrödinger Equation ◽

Optical Fiber ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Lax Pair ◽

Nonlinear Schrodinger Equation ◽

Mixed Derivative ◽

Derivative Nonlinear Schrödinger Equation ◽

Birefringent Optical Fiber ◽

Localized Waves

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Rogue wave solutions for a coupled nonlinear Schrödinger equation in the birefringent optical fiber

Applied Mathematics Letters ◽

10.1016/j.aml.2019.05.028 ◽

2019 ◽

Vol 98 ◽

pp. 128-134 ◽

Author(s):

Zhong-Zhou Lan

Keyword(s):

Schrödinger Equation ◽

Optical Fiber ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Coupled Nonlinear Schrödinger Equation ◽

Wave Solutions ◽

Rogue Wave Solutions ◽

Birefringent Optical Fiber

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Solitons, Lax pair and infinitely-many conservation laws for a higher-order nonlinear Schrödinger equation in an optical fiber

Optik ◽

10.1016/j.ijleo.2016.12.026 ◽

2017 ◽

Vol 132 ◽

pp. 417-426 ◽

Author(s):

Xue-Hui Zhao ◽

Bo Tian ◽

Yong-Jiang Guo

Keyword(s):

Schrödinger Equation ◽

Optical Fiber ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Lax Pair ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Chaotic breathers and breather fission/fusion for a vector nonlinear Schrödinger equation in a birefringent optical fiber or wavelength division multiplexed system

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.124768 ◽

2020 ◽

Vol 368 ◽

pp. 124768 ◽

Author(s):

Hui-Min Yin ◽

Bo Tian ◽

Xin-Chao Zhao

Keyword(s):

Schrödinger Equation ◽

Optical Fiber ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Wavelength Division ◽

Nonlinear Schrödinger ◽

Wavelength Division Multiplexed ◽

Birefringent Optical Fiber

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Lax pair, rogue-wave and soliton solutions for a variable-coefficient generalized nonlinear Schrödinger equation in an optical fiber, fluid or plasma

Optical and Quantum Electronics ◽

10.1007/s11082-015-0290-3 ◽

2016 ◽

Vol 48 (1) ◽

Author(s):

Da-Wei Zuo ◽

Yi-Tian Gao ◽

Long Xue ◽

Yu-Jie Feng

Keyword(s):

Schrödinger Equation ◽

Optical Fiber ◽

Nonlinear Schrödinger Equation ◽

Variable Coefficient ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Lax Pair ◽

Nonlinear Schrodinger Equation ◽

Generalized Nonlinear Schrödinger Equation

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Next hierarchy of mixed derivative nonlinear Schrödinger equation

Chaos Solitons & Fractals ◽

10.1016/s0960-0779(99)00142-3 ◽

2000 ◽

Vol 11 (14) ◽

pp. 2223-2231 ◽

Author(s):

K. Porsezian ◽

P. Seenuvasakumaran ◽

K. Saravanan

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Mixed Derivative ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Solving localized wave solutions of the derivative nonlinear Schrödinger equation using an improved PINN method

Nonlinear Dynamics ◽

10.1007/s11071-021-06554-5 ◽

2021 ◽

Author(s):

Juncai Pu ◽

Jun Li ◽

Yong Chen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Derivative Nonlinear Schrödinger Equation

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The data-driven localized wave solutions of the derivative nonlinear Schrödinger equation by using improved PINN approach

Wave Motion ◽

10.1016/j.wavemoti.2021.102823 ◽

2021 ◽

pp. 102823

Author(s):

Juncai Pu ◽

Weiqi Peng ◽

Yong Chen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Data Driven ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Derivative Nonlinear Schrödinger Equation

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Remarks on blow-up criteria for the derivative nonlinear Schrödinger equation under the optimal threshold setting

Journal of Differential Equations ◽

10.1016/j.jde.2021.05.003 ◽

2021 ◽

Vol 291 ◽

pp. 90-109

Author(s):

Hideo Takaoka

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Blow Up ◽

Nonlinear Schrodinger Equation ◽

Optimal Threshold ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Threshold Setting

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Novel optical soliton solutions for time-fractional resonant nonlinear Schrödinger equation in optical fiber

Optical and Quantum Electronics ◽

10.1007/s11082-021-03479-6 ◽

2022 ◽

Vol 54 (2) ◽

Author(s):

N. Das ◽

S. Saha Ray

Keyword(s):

Schrödinger Equation ◽

Optical Fiber ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Optical Soliton ◽

Nonlinear Schrödinger

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Triple-pole soliton solutions of the derivative nonlinear Schrödinger equation via inverse scattering transform

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107741 ◽

2021 ◽

pp. 107741

Author(s):

Nan Liu ◽

Zuxing Xuan ◽

Jinyi Sun

Keyword(s):

Schrödinger Equation ◽

Inverse Scattering ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Inverse Scattering Transform ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Scattering Transform ◽

Derivative Nonlinear Schrödinger Equation

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