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

Wang Xiu-Bin; Han Bo

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

机译：配对转换耦合的非线性薛定兆式方程：Riemann-Hilbert问题和N-Soliton解决方案

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.In this work, the pair-transition-coupled nonlinear Schrodinger (pt-CNLS) equation, which can also be used to describe the propagation of orthogonally polarized optical waves in an isotropic medium, is under investigation. The spectral analysis with 4x4 Lax pairs is performed for the integrable pt-CNLS equations, from which a kind of Riemann-Hilbert problem is strictly formulated. Moreover, N-soliton solutions to the pt-CNLS equation are constructed by using a specific Riemann-Hilbert formulation.

机译：在这项工作中，还在研究中，还可以用于描述各向同性介质中正交偏振光波的传播的成对耦合耦合的非线性Schrodinger（Pt-CNLs）等式。对具有4x4距离的光谱分析对可集成的PT-CNLS方程进行，严格配制了一种Riemann-Hilbert问题。此外，通过使用特定的Riemann-Hilbert制剂构建对Pt-CNLS方程的N-溶胶溶液。

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《European Physical Journal Plus》 |2019年第2期|共6页
作者
Wang Xiu-Bin; Han Bo;
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作者单位

Harbin Inst Technol Dept Math Harbin 150001 Heilongjiang Peoples R China;

Harbin Inst Technol Dept Math Harbin 150001 Heilongjiang Peoples R China;

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正文语种 eng
中图分类物理学;
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1. The pair-transition-coupled nonlinear Schrodinger equation: The Riemann-Hilbert problem and N-soliton solutions [J] . Wang Xiu-Bin, Han Bo European Physical Journal Plus . 2019,第2期

机译：配对转换耦合的非线性薛定兆式方程：Riemann-Hilbert问题和N-Soliton解决方案
2. Prolongation Structures and N-Soliton Solutions for a New Nonlinear Schroedinger-Type Equation via Riemann-Hilbert Approach [J] . Lin Yuxin, Fang Yong, Dong Huanhe Mathematical Problems in Engineering . 2019,第PTa15期

机译：通过RIEMANN-HILBERT方法的新非线性施罗德格式方程的延长结构和N-孤子解决方案
3. Prolongation Structures and N-Soliton Solutions for a New Nonlinear Schr?dinger-Type Equation via Riemann-Hilbert Approach [J] . Yuxin Lin, Yong Fang, Huanhe Dong Mathematical Problems in Engineering: Theory, Methods and Applications . 2019,第1期

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4. Solution Behaviors in Coupled Schrodinger Equations with Full-Modulated Nonlinearities [C] . Zehra Pinar, Ekin Deliktas Turkish Physical Society International Physics Congress . 2017

机译：具有全调制非线性的耦合Schrodinger方程中的解决方案行为
5. Existence and multiplicity results on standing wave solutions of some coupled nonlinear Schrodinger equations. [D] . Tian, Rushun. 2013

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6. Modulational instability beak-shaped rogue waves multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations [O] . Guoqiang Zhang, Zhenya Yan, Xiao-Yong Wen -1

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7. ANALYTIC SOLUTIONS TO NONLINEAR SCHRODINGER EQUATIONS (Microlocal Analysis of the Schrodinger Equation and Related Topics) [O] . 加藤圭一 2000

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

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