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

Jin‐Jie Yang; Shou‐Fu Tian; Wei‐Qi Peng; Tian‐Tian Zhang

doi:10.1002/mma.6055

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

Download Full-text

Riemann-Hilbert problem and dynamics of soliton solutions of the fifth-order nonlinear Schrödinger equation

Applied Mathematics Letters ◽

10.1016/j.aml.2022.107904 ◽

2022 ◽

pp. 107904

Author(s):

Jin-Jie Yang ◽

Shou-Fu Tian

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Hilbert Problem ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Fifth Order ◽

Riemann Hilbert Problem

Download Full-text

The pair-transition-coupled nonlinear Schrödinger equation: The Riemann-Hilbert problem and N-soliton solutions

The European Physical Journal Plus ◽

10.1140/epjp/i2019-12439-y ◽

2019 ◽

Vol 134 (2) ◽

Cited By ~ 7

Author(s):

Xiu-Bin Wang ◽

Bo Han

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Hilbert Problem ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation ◽

Riemann Hilbert Problem

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

The Riemann - Hilbert problem associated with the quantum nonlinear Schrödinger equation

Journal of Physics A General Physics ◽

10.1088/0305-4470/30/23/021 ◽

1997 ◽

Vol 30 (23) ◽

pp. 8241-8255 ◽

Cited By ~ 7

Author(s):

V E Korepin ◽

N A Slavnov

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Hilbert Problem ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Riemann Hilbert Problem

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

Riemann–Hilbert problem for the Kundu-type nonlinear Schrödinger equation with $$N$$ distinct arbitrary-order poles

Theoretical and Mathematical Physics ◽

10.1134/s0040577921040024 ◽

2021 ◽

Vol 207 (1) ◽

pp. 415-433

Author(s):

Zi-Yi Wang ◽

Shou-Fu Tian ◽

Xiao-Fan Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Arbitrary Order ◽

Hilbert Problem ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Riemann Hilbert Problem

Download Full-text