Initial value problem and soliton solutions of the single-cycle short pulse equation via the Riemann-Hilbert approach

被引：8

作者：

Bo, Ge-Qiang ^{[1
]}

Zhang, Wei-Guo ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

JOURNAL OF PHYSICS COMMUNICATIONS | 2018年 / 2卷 / 11期

基金：

中国国家自然科学基金;

关键词：

single-cycle short pulse equation; initial value problem; Riemann-Hilbert problem;

D O I：

10.1088/2399-6528/aaeaf5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper solves the initial value problem of the single-cycle short pulse equation u(xt) = u + 1/2u(u(2))(xx) via the Riemann-Hilbert approach. By converting initial value problem into the Riemnn-Hilbert problem, we have obtained one-soliton solutions and two-soliton solutions for the single-cycle short pulse equation.

引用

页数：11

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