Integrability and soliton interaction of a resonant nonlinear Schrödinger equation via binary Bell polynomials

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2012.11.003 ◽

2013 ◽

Vol 14 (3) ◽

pp. 1669-1679 ◽

Author(s):

Min Li ◽

Jing-Hua Xiao ◽

Tian-Zhong Yan ◽

Bo Tian

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Bell Polynomials ◽

Soliton Interaction ◽

Nonlinear Schrödinger ◽

Binary Bell Polynomials

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Solitons and breathers for a generalized nonlinear Schrödinger equation via the binary Bell polynomials

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2020.07.020 ◽

2021 ◽

Vol 179 ◽

pp. 57-68

Author(s):

Yan Jiang ◽

Qi-Xing Qu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Bell Polynomials ◽

Nonlinear Schrödinger ◽

Generalized Nonlinear Schrödinger Equation ◽

Binary Bell Polynomials

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Soliton interaction in the higher-order nonlinear Schrödinger equation investigated with Hirota's bilinear method

Physical Review E ◽

10.1103/physreve.77.066605 ◽

2008 ◽

Vol 77 (6) ◽

Author(s):

Wen-Jun Liu ◽

Bo Tian ◽

Hai-Qiang Zhang ◽

Li-Li Li ◽

Yu-Shan Xue

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Soliton Interaction ◽

Hirota’S Bilinear Method ◽

Bilinear Method ◽

Nonlinear Schrödinger

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Soliton interaction of a generalized nonlinear Schrödinger equation in an optical fiber

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107737 ◽

2021 ◽

pp. 107737

Author(s):

Xue-Wei Yan ◽

Yong Chen

Keyword(s):

Schrödinger Equation ◽

Optical Fiber ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Soliton Interaction ◽

Nonlinear Schrödinger ◽

Generalized Nonlinear Schrödinger Equation

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Soliton interaction control through dispersion and nonlinear effects for the fifth-order nonlinear Schrödinger equation

Nonlinear Dynamics ◽

10.1007/s11071-021-06915-0 ◽

2021 ◽

Author(s):

Guoli Ma ◽

Jianbo Zhao ◽

Qin Zhou ◽

Anjan Biswas ◽

Wenjun Liu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Effects ◽

Nonlinear Schrodinger Equation ◽

Soliton Interaction ◽

Nonlinear Schrödinger ◽

Interaction Control ◽

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One-soliton shaping and two-soliton interaction in the fifth-order variable-coefficient nonlinear Schrödinger equation

Nonlinear Dynamics ◽

10.1007/s11071-018-4569-3 ◽

2018 ◽

Vol 95 (1) ◽

pp. 369-380 ◽

Author(s):

Chunyu Yang ◽

Wenjun Liu ◽

Qin Zhou ◽

Dumitru Mihalache ◽

Boris A. Malomed

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Variable Coefficient ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Soliton Interaction ◽

Nonlinear Schrödinger ◽

Order Variable ◽

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A new way to exact quasi-soliton solutions and soliton interaction for the cubic-quintic nonlinear Schrödinger equation with variable coefficients

Optics Communications ◽

10.1016/j.optcom.2004.10.001 ◽

2005 ◽

Vol 245 (1-6) ◽

pp. 383-390 ◽

Author(s):

Ruiyu Hao ◽

Lu Li ◽

Zhonghao Li ◽

Rongcao Yang ◽

Guosheng Zhou

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Soliton Interaction ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

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A new approach to exact soliton solutions and soliton interaction for the nonlinear Schrödinger equation with variable coefficients

Optics Communications ◽

10.1016/j.optcom.2004.03.005 ◽

2004 ◽

Vol 236 (1-3) ◽

pp. 79-86 ◽

Author(s):

Ruiyu Hao ◽

Lu Li ◽

Zhonghao Li ◽

Wenrui Xue ◽

Guosheng Zhou

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Soliton Interaction ◽

New Approach ◽

Nonlinear Schrödinger ◽

Exact Soliton Solutions

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Dynamics of wave packets and soliton interaction in terms of the third-order nonlinear Schrödinger equation

Radiophysics and Quantum Electronics ◽

10.1007/bf02676501 ◽

1998 ◽

Vol 41 (12) ◽

pp. 1051-1055

Author(s):

E. M. Gromov ◽

L. V. Piskunova ◽

V. V. Tyutin

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Wave Packets ◽

Nonlinear Schrodinger Equation ◽

Soliton Interaction ◽

Third Order ◽

Nonlinear Schrödinger ◽

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Soliton interaction for a variable-coefficient higher-order nonlinear Schrödinger equation in a dispersion-decreasing fiber

Optics & Laser Technology ◽

10.1016/j.optlastec.2018.01.026 ◽

2018 ◽

Vol 103 ◽

pp. 151-154 ◽

Author(s):

Zhi-Ruo Huang ◽

Yun-Po Wang ◽

Hui-Xian Jia ◽

Ying-Fang Liu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Variable Coefficient ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Soliton Interaction ◽

Nonlinear Schrödinger

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Nonlinear Schrödinger Equation-Based Adjoint Sensitivity Analysis

2020 International Applied Computational Electromagnetics Society Symposium (ACES) ◽

10.23919/aces49320.2020.9196096 ◽

2020 ◽

Author(s):

Mahmoud M. T. Maghrabi ◽

Mohamed H. Bakr ◽

Shiva Kumar

Keyword(s):

Sensitivity Analysis ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Adjoint Sensitivity Analysis ◽

Adjoint Sensitivity ◽

Nonlinear Schrödinger

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