On periodic wave solution and asymptotic property of KdV-Sawada-Kotera equation

被引：7

作者：

Qin, Zhen-Yun ^{[1
]}

机构：

[1] Fudan Univ, Sch Math, Shanghai 200433, Peoples R China

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2007年 / 76卷 / 12期

关键词：

KdV-Sawada-Kotera equation; the Hirota bilinear method; periodic wave solution; Riemann theta function;

D O I：

10.1143/JPSJ.76.124004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on the Riemann theta function, the Hirota bilinear method is extended to directly construct periodic wave solutions of KdV-Sawada-Kotera equation. The relations among various data related to the Riemann theta functions are explicitly given by the Fourier series representation. The asymptotic property of the periodic wave solution of the KdV-Sawada-Kotera equation is analyzed in detail. It is shown that well-known soliton solution given by Hirota can be reduced from the periodic wave solution.

引用

页数：4

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