New exact solutions to a new Hamiltonian amplitude equation

被引：28

作者：

Peng, YZ ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Lab Pure & Appl Math, Beijing 100871, Peoples R China

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2003年 / 72卷 / 08期

关键词：

exact solutions; new Hamiltonian amplitude equation; the modified mapping method;

D O I：

10.1143/JPSJ.72.1889

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

New exact solutions are obtained by means of the modified mapping method to a new Hamiltonian amplitude equation introduced by Wadati et al. [J. Phys. Soc. Jpn. 61 (1992) 1187]. The new periodic wave solutions are the linear combination of two different Jacobi elliptic waves. Limit cases are studied, and new solitary wave solution and triangular periodic wave solution are got.

引用

页码：1889 / 1890

页数：2

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[2]

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JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2003, 72 (06) :1356-1359

[4]

Prasolov V., 1997, Elliptic Functions and Elliptic Integrals

[5] A NEW HAMILTONIAN AMPLITUDE EQUATION GOVERNING MODULATED WAVE INSTABILITIES [J].

WADATI, M ;

SEGUR, H ;

ABLOWITZ, MJ .

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