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
收藏
页数：11
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