Data-driven vector soliton solutions of coupled nonlinear Schrödinger equation using a deep learning algorithm

Physics Letters A ◽

10.1016/j.physleta.2021.127739 ◽

2021 ◽

pp. 127739

Author(s):

Yi-Fan Mo ◽

Liming Ling ◽

Delu Zeng

Keyword(s):

Deep Learning ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Learning Algorithm ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Data Driven ◽

Coupled Nonlinear Schrödinger Equation ◽

Deep Learning Algorithm ◽

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Soliton solutions, soliton-type solutions and rational solutions for the coupled nonlinear Schrödinger equation in magneto-optic waveguides

The European Physical Journal Plus ◽

10.1140/epjp/s13360-021-01113-8 ◽

2021 ◽

Vol 136 (2) ◽

Author(s):

Muhammad Bilal Riaz ◽

Abdon Atangana ◽

Adil Jhangeer ◽

Sana Tahir

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Rational Solutions ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation ◽

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A Deep Learning Algorithm for Solving the Cubic Schrödinger Equation

2020 10th International Conference on Advanced Computer Information Technologies (ACIT) ◽

10.1109/acit49673.2020.9208998 ◽

2020 ◽

Author(s):

Nevena Dugandzija

Keyword(s):

Deep Learning ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Learning Algorithm ◽

Deep Learning Algorithm ◽

Cubic Schrödinger Equation

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Soliton Solutions and Soliton Interactions for the Coupled Nonlinear Schrödinger Equation with Varying Coefficients

Physica Scripta ◽

10.1238/physica.regular.072a00394 ◽

2005 ◽

Vol 72 (5) ◽

pp. 394-398 ◽

Author(s):

Jinping Tian ◽

Jihong Li ◽

Linsheng Kang ◽

Guosheng Zhou

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Soliton Interactions ◽

Nonlinear Schrödinger ◽

Varying Coefficients ◽

Coupled Nonlinear Schrödinger Equation

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3-Soliton Solutions of Multi-Component Coupled Nonlinear Schrodinger Equation and Their Interaction

Acta Optica Sinica ◽

10.3788/aos201939.0419001 ◽

2019 ◽

Vol 39 (4) ◽

pp. 0419001

Author(s):

赵岩 Zhao Yan ◽

宋丽军 Song Lijun ◽

王艳 Wang Yan

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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The nonautonomous N-soliton solutions for coupled nonlinear Schrödinger equation with arbitrary time-dependent potential

Nonlinear Dynamics ◽

10.1007/s11071-017-3377-5 ◽

2017 ◽

Vol 88 (3) ◽

pp. 2291-2302 ◽

Author(s):

Xiao-Min Wang ◽

Ling-Ling Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Arbitrary Time ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation ◽

Dependent Potential

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New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrödinger equation with variable coefficients

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.02.023 ◽

2014 ◽

Vol 233 ◽

pp. 351-358 ◽

Author(s):

Fajun Yu ◽

Zhenya Yan

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Rogue Waves ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Bright Soliton ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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Generalized Darboux transformation, semi-rational solutions and novel degenerate soliton solutions for a coupled nonlinear Schrödinger equation

The European Physical Journal Plus ◽

10.1140/epjp/s13360-021-01400-4 ◽

2021 ◽

Vol 136 (4) ◽

Author(s):

Hong-Yi Zhang ◽

Yu-Feng Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Darboux Transformation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Rational Solutions ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation ◽

Generalized Darboux Transformation

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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) ◽

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

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Bilinearization of the generalized coupled nonlinear Schrödinger equation with variable coefficients and gain and dark-bright pair soliton solutions

Physical Review E ◽

10.1103/physreve.91.023210 ◽

2015 ◽

Vol 91 (2) ◽

Author(s):

Sushmita Chakraborty ◽

Sudipta Nandy ◽

Abhijit Barthakur

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.12.057 ◽

2014 ◽

Vol 229 ◽

pp. 296-309 ◽

Author(s):

Deng-Shan Wang ◽

Shujuan Yin ◽

Ye Tian ◽

Yifang Liu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Bright Soliton ◽

Order Effects ◽

Coupled Nonlinear Schrödinger Equation ◽

Higher Order Effects

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