Soliton solutions for coupled nonlinear Schrödinger equations with linear self and cross coupling terms

Superlattices and Microstructures ◽

10.1016/j.spmi.2017.07.030 ◽

2017 ◽

Vol 111 ◽

pp. 722-735 ◽

Author(s):

Ling-Ling Zhang ◽

Xiao-Min Wang

Keyword(s):

Soliton Solutions ◽

Cross Coupling ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupling Terms ◽

Coupled Nonlinear Schrodinger Equations

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Periodic energy switching of bright solitons in mixed coupled nonlinear Schrödinger equations with linear self-coupling and cross-coupling terms

Physical Review A ◽

10.1103/physreva.76.013808 ◽

2007 ◽

Vol 76 (1) ◽

Author(s):

T. Kanna ◽

M. Vijayajayanthi ◽

M. Lakshmanan

Keyword(s):

Cross Coupling ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Bright Solitons ◽

Nonlinear Schrodinger Equations ◽

Coupling Terms ◽

Coupled Nonlinear Schrodinger Equations

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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

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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

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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

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Rational soliton solutions in the parity-time-symmetric nonlocal coupled nonlinear Schrödinger equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2018.02.029 ◽

2018 ◽

Vol 63 ◽

pp. 253-260 ◽

Author(s):

Hai-Qiang Zhang ◽

Min Gao

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Multicomponent Higher Order Bright Soliton Solutions and Shape Changing Collisions in Coupled Nonlinear Schrödinger Equations

Optical Solitons - Lecture Notes in Physics ◽

10.1007/3-540-36141-3_7 ◽

2002 ◽

pp. 141-164

Author(s):

M. Lakshmanan ◽

T. Kanna

Keyword(s):

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrödinger Equations ◽

Bright Soliton ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Bright, dark, and mixed vector soliton solutions of the general coupled nonlinear Schrödinger equations

Physical Review E ◽

10.1103/physreve.91.042909 ◽

2015 ◽

Vol 91 (4) ◽

Author(s):

Agalar Agalarov ◽

Vladimir Zhulego ◽

Telman Gadzhimuradov

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Vector Soliton ◽

Coupled Nonlinear Schrodinger Equations

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BrightN-soliton solutions in terms of the triple Wronskian for the coupled nonlinear Schrödinger equations in optical fibers

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/43/24/245205 ◽

2010 ◽

Vol 43 (24) ◽

pp. 245205 ◽

Author(s):

Tao Xu ◽

Bo Tian

Keyword(s):

Optical Fibers ◽

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Discrete soliton solutions of the fractional discrete coupled nonlinear Schrödinger equations: Three analytical approaches

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7473 ◽

2021 ◽

Author(s):

Peng‐Hong Lu ◽

Yue‐Yue Wang ◽

Chao‐Qing Dai

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Discrete Soliton ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Analytical Approaches

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Riemann–Hilbert method and multi-soliton solutions for three-component coupled nonlinear Schrödinger equations

Journal of Geometry and Physics ◽

10.1016/j.geomphys.2019.103508 ◽

2019 ◽

Vol 146 ◽

pp. 103508 ◽

Author(s):

Wei-Qi Peng ◽

Shou-Fu Tian ◽

Xiu-Bin Wang ◽

Tian-Tian Zhang ◽

Yong Fang

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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