RIEMANN THETA FUNCTIONS SOLUTIONS WITH RATIONAL CHARACTERISTICS FOR (2+1)-DIMENSIONAL SINH-GORDON EQUATION

被引：0

作者：

Feng, Yang ^{[1
]}

Zhang, Hong-Qing ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2010年 / 24卷 / 06期

关键词：

Riemann theta functions; Hirota bilinear method; (2+1)-dimensional sinh-Gordon equation; CAMASSA-HOLM HIERARCHY; ALGEBRO-GEOMETRIC SOLUTIONS; LINEAR EVOLUTION-EQUATIONS; QUASI-PERIODIC SOLUTIONS; 2-PERIODIC WAVE SOLUTION; PETVIASHVILI EQUATION; BILINEAR EQUATIONS; KDV EQUATION; DECOMPOSITION;

D O I：

10.1142/S0217984910022639

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this letter, we use the Riemann theta functions with rational characteristics and the Hirota bilinear method to construct quasi-periodic wave solutions for (2 + 1)-dimensional sinh-Gordon equation. This method not only conveniently obtains quasi-periodic solutions of nonlinear equations, but also directly gets the explicit expressions of frequencies, wave number, phase and amplitudes for the waves.

引用

页码：575 / 584

页数：10

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