RIEMANN-HILBERT APPROACH AND N-SOLITON SOLUTIONS OF THE GENERALIZED MIXED NONLINEAR SCHRODINGER EQUATION

被引：0

作者：

Qiu, Deqin ^{[1
]}

Lv, Cong ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Sci, Dept Math, Beijing, Peoples R China

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2022年 / 210卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Riemann-Hilbert problem; generalized mixed nonlinear Schrodinger equation; asymptotic analysis; N-soliton soliton; DISPERSIVE DIELECTRIC FIBERS; WAVE-PROPAGATION; OPTICAL PULSES; SYSTEMS; TRANSMISSION; BISTABILITY; REGION; BRIGHT;

D O I：

10.1134/S0040577922030011

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We apply the Riemann-Hilbert method to the generalized mixed nonlinear Schrodinger equation and obtain a new formula for an explicit N-soliton solution, which is expressed as a ratio of (N + 1) x (N +1) and N x N determinants. Using asymptotic analysis and the property of the Cauchy determinant, we derive simple elastic interactions of N-solitons.

引用

页码：287 / 303

页数：17

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