The N-soliton solutions to the M-components nonlinear Schrödinger equations by the Riemann-Hilbert approach

Partial Differential Equations in Applied Mathematics ◽

10.1016/j.padiff.2022.100260 ◽

2022 ◽

pp. 100260

Author(s):

Jian Li ◽

Tiecheng Xia

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

Download Full-text

Multi-soliton solutions of the N-component nonlinear Schrödinger equations via Riemann–Hilbert approach

Nonlinear Dynamics ◽

10.1007/s11071-021-06706-7 ◽

2021 ◽

Author(s):

Yan Li ◽

Jian Li ◽

Ruiqi Wang

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

Download Full-text

Exact Soliton Solutions, Shape Changing Collisions, and Partially Coherent Solitons in Coupled Nonlinear Schrödinger Equations

Physical Review Letters ◽

10.1103/physrevlett.86.5043 ◽

2001 ◽

Vol 86 (22) ◽

pp. 5043-5046 ◽

Author(s):

T. Kanna ◽

M. Lakshmanan

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Partially Coherent ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Exact Soliton Solutions

Download Full-text

Multi-soliton solutions of coupled nonlinear Schrödinger Equations

Chinese Physics Letters ◽

10.1088/0256-307x/4/4/011 ◽

1987 ◽

Vol 4 (4) ◽

pp. 185-187 ◽

Author(s):

Yan Zhida

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

Download Full-text

Exact quasi-soliton solutions and soliton interaction for the inhomogeneous coupled nonlinear Schrödinger equations

Journal of Modern Optics ◽

10.1080/09500340903531370 ◽

2010 ◽

Vol 57 (4) ◽

pp. 261-272 ◽

Author(s):

C.G. Latchio Tiofack ◽

Alidou Mohamadou ◽

Timoléon C. Kofané ◽

K. Porsezian

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Soliton Interaction ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

Download Full-text

Nonlocal nonlinear Schrödinger equations and their soliton solutions

Journal of Mathematical Physics ◽

10.1063/1.4997835 ◽

2018 ◽

Vol 59 (5) ◽

pp. 051501 ◽

Author(s):

Metin Gürses ◽

Aslı Pekcan

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Nonlocal Nonlinear

Download Full-text

Optical soliton solutions of perturbing time-fractional nonlinear Schrödinger equations

Optik ◽

10.1016/j.ijleo.2020.164589 ◽

2020 ◽

Vol 209 ◽

pp. 164589 ◽

Author(s):

M.S. Osman ◽

Khalid K. Ali

Keyword(s):

Soliton Solutions ◽

Optical Soliton ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

Download Full-text

Soliton solutions to coupled higher‐order nonlinear Schrödinger equations

Journal of Mathematical Physics ◽

10.1063/1.529732 ◽

1992 ◽

Vol 33 (3) ◽

pp. 1208-1215 ◽

Author(s):

R. S. Tasgal ◽

M. J. Potasek

Keyword(s):

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

Download Full-text

Optical soliton solutions of the generalized higher-order nonlinear Schrödinger equations and their applications

Optical and Quantum Electronics ◽

10.1007/s11082-017-1260-8 ◽

2017 ◽

Vol 50 (11) ◽

Author(s):

M. Arshad ◽

Aly R. Seadawy ◽

Dianchen Lu

Keyword(s):

Soliton Solutions ◽

Higher Order ◽

Optical Soliton ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

Download Full-text

Soliton solutions and traveling wave solutions of the two-dimensional generalized nonlinear Schrödinger equations

The European Physical Journal Plus ◽

10.1140/epjp/s13360-021-02092-6 ◽

2021 ◽

Vol 136 (10) ◽

Author(s):

Cestmir Burdik ◽

Gaukhar Shaikhova ◽

Berik Rakhimzhanov

Keyword(s):

Traveling Wave ◽

Soliton Solutions ◽

Traveling Wave Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Nonlinear Schrodinger Equations

Download Full-text

Dark two-soliton solutions for nonlinear Schrödinger equations in inhomogeneous optical fibers

Chinese Journal of Physics ◽

10.1016/j.cjph.2019.08.006 ◽

2019 ◽

Vol 61 ◽

pp. 310-315 ◽

Author(s):

Xiaoyan Liu ◽

Zitong Luan ◽

Qin Zhou ◽

Wenjun Liu ◽

Anjan Biswas

Keyword(s):

Optical Fibers ◽

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

Download Full-text