Direct similarity reductions and new exact solutions of the short pulse equation

被引：8

作者：

Chen, Quting ^{[1
]}

Shang, Yadong ^{[1
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

来源：

AIMS MATHEMATICS | 2019年 / 4卷 / 02期

关键词：

similarity reductions; direct method; short pulse equation; exact solution; the method of undetermined coefficients; COMPLEX SHORT-PULSE; WAVE SOLUTIONS; SYMMETRY REDUCTIONS;

D O I：

10.3934/math.2019.2.231

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present some similarity reductions of the short pulse equation(SPE) based on the direct similarity reduction method proposed by Clarkson and Kruskal. These similarity reductions have a more general form than those obtained by using the Lie group method. Especially, we obtain one new similarity reduction which can not be obtained by Lie group method. Furthermore, we derive one new exact analytic solutions by the method of undetermined coefficients.

引用

页码：231 / 241

页数：11

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