New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation

Narimasa Sasa; Junkichi Satsuma

doi:10.1143/jpsj.60.409

New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation

Journal of the Physical Society of Japan ◽

10.1143/jpsj.60.409 ◽

1991 ◽

Vol 60 (2) ◽

pp. 409-417 ◽

Cited By ~ 283

Author(s):

Narimasa Sasa ◽

Junkichi Satsuma

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

New Type

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Optical soliton solutions to a higher-order nonlinear Schrödinger equation with Kerr law nonlinearity

Results in Physics ◽

10.1016/j.rinp.2021.104515 ◽

2021 ◽

pp. 104515

Author(s):

B. Günay

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Optical Soliton ◽

Nonlinear Schrödinger ◽

Kerr Law ◽

Kerr Law Nonlinearity

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Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation

The European Physical Journal B ◽

10.1140/epjb/e2009-00356-3 ◽

2009 ◽

Vol 72 (2) ◽

pp. 233-239 ◽

Cited By ~ 54

Author(s):

Hai-Qiang Zhang ◽

Bo Tian ◽

Xiang-Hua Meng ◽

Xing Lü ◽

Wen-Jun Liu

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulational Instability ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Modulation stability and dispersive optical soliton solutions of higher order nonlinear Schrödinger equation and its applications in mono-mode optical fibers

Superlattices and Microstructures ◽

10.1016/j.spmi.2017.11.022 ◽

2018 ◽

Vol 113 ◽

pp. 419-429 ◽

Cited By ~ 19

Author(s):

Muhammad Arshad ◽

Aly R. Seadawy ◽

Dianchen Lu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Optical Fibers ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Optical Soliton ◽

Nonlinear Schrödinger

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Optical soliton solutions of higher order nonlinear Schrödinger equation in monomode fibers and its applications

Optik ◽

10.1016/j.ijleo.2017.10.063 ◽

2018 ◽

Vol 154 ◽

pp. 785-798 ◽

Cited By ~ 19

Author(s):

Kalim U. Tariq ◽

Aly R. Seadawy

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Optical Soliton ◽

Nonlinear Schrödinger

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Soliton solutions and eigenfunctions of linearized operator for a higher-order nonlinear Schrödinger equation

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2017.11.021 ◽

2018 ◽

Vol 106 ◽

pp. 289-294

Author(s):

S. Eskandar ◽

S.M. Hoseini

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Linearized Operator

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Conservation laws and dark-soliton solutions of an integrable higher-order nonlinear Schrödinger equation for a density-modulated quantum condensate

Physica Scripta ◽

10.1088/0031-8949/90/4/045205 ◽

2015 ◽

Vol 90 (4) ◽

pp. 045205 ◽

Cited By ~ 4

Author(s):

De-Yin Liu ◽

Bo Tian ◽

Wen-Rong Sun ◽

Yun-Po Wang

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Dark Soliton ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Multi-dark soliton solutions for the higher-order nonlinear Schrödinger equation in optical fibers

Nonlinear Dynamics ◽

10.1007/s11071-017-3990-3 ◽

2017 ◽

Vol 91 (3) ◽

pp. 1921-1930 ◽

Cited By ~ 8

Author(s):

Hai-Qiang Zhang ◽

Yue Wang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Optical Fibers ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Dark Soliton ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Exact N -Soliton Solutions for the Higher-Order Nonlinear Schrödinger Equation Under Another Condition

Chinese Physics Letters ◽

10.1088/0256-307x/11/12/006 ◽

1994 ◽

Vol 11 (12) ◽

pp. 737-740 ◽

Cited By ~ 3

Author(s):

Shanliang Liu ◽

Wenzheng Wang ◽

Jingzhi Xu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Modulation stability and optical soliton solutions of nonlinear Schrödinger equation with higher order dispersion and nonlinear terms and its applications

Superlattices and Microstructures ◽

10.1016/j.spmi.2017.09.054 ◽

2017 ◽

Vol 112 ◽

pp. 422-434 ◽

Cited By ~ 43

Author(s):

Muhammad Arshad ◽

Aly R. Seadawy ◽

Dianchen Lu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Optical Soliton ◽

Nonlinear Schrödinger ◽

Higher Order Dispersion ◽

Order Dispersion

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The N ‐coupled higher‐order nonlinear Schrödinger equation: Riemann‐Hilbert problem and multi‐soliton solutions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6055 ◽

2019 ◽

Vol 43 (5) ◽

pp. 2458-2472 ◽

Cited By ~ 11

Author(s):

Jin‐Jie Yang ◽

Shou‐Fu Tian ◽

Wei‐Qi Peng ◽

Tian‐Tian Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Hilbert Problem ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Riemann Hilbert Problem

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