More on linear superposition method for the (2+1)-dimensional nonlinear wave equations

被引：5

作者：

Lai, XJ ^{[1
]}

Zhang, JF ^{[1
]}

机构：

[1] Zheijiang Normal Univ, Coll Math Phys & Informat Sci, Jinan 321004, Peoples R China

来源：

ACTA PHYSICA SINICA | 2004年 / 53卷 / 12期

关键词：

Jacobi elliptic function; linear superposition method; cyclic identities; nonlinear Schrodinger equation; Boussinesq equation;

D O I：

10.7498/aps.53.4065

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we find periodic solutions with different periods and velocities to the (2 + 1)-dimensional general Schodinger and Boussinesq equations by making approprite linear superpositions of known periodic travelling wave solutions involving Jacobi elliptic functions. It is noteworthy that this linear superposition procedure works by virtue of some remarkable new identities involving elliptic functions.

引用

页码：4065 / 4069

页数：5

共 20 条

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