A Riemann-Hilbert approach to solution of the modified focusing complex short pulse equation

被引：1

作者：

Barkov, Ruslan ^{[1
]}

Shepelsky, Dmitry ^{[1
,2
]}

机构：

[1] Kharkov Natl Univ, Sch Math & Comp Sci, Kharkiv, Ukraine

[2] B Verkin Inst Low Temp Phys & Engn, Math Div, Kharkiv, Ukraine

来源：

FRONTIERS IN APPLIED MATHEMATICS AND STATISTICS | 2024年 / 10卷

关键词：

short pulse equation; short wave equation; Camassa-Holm-type equation; inverse scattering transform; Riemann-Hilbert problem;

D O I：

10.3389/fams.2024.1466965

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a Riemann-Hilbert approach to the modified focusing complex short pulse (mfcSP) equationuxt=u+12u<overline>(u2)xxwith zero boundary conditions (as |x| -> infinity). We obtain a parametric representation of the solution of the initial value problem for the mfcSP equation in terms of the solution of the associated Riemann-Hilbert problem. This representation is then used for retrieving one-soliton solutions.

引用

页数：14

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