Exact periodic solutions of the sixth-order generalized Boussinesq equation

被引：8
|
作者：
Kamenov, O. Y. [1 ]
机构：
[1] Tech Univ Sofia, Dept Appl Math & Informat, Sofia 1000, Bulgaria
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 37期
关键词：
LONG-WAVE EQUATION; SHALLOW-WATER; SOLITONS;
D O I：
10.1088/1751-8113/42/37/375501
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper examines a class of nonlinear sixth-order generalized Boussinesq-like equations (SGBE): u(tt) = u(xx) + 3(u(2))(xx)+u(xxxx)+alpha u(xxxxxx), alpha is an element of R, depending on the positive parameter alpha. Hirota's bilinear transformation method is applied to the above class of non-integrable equations and exact periodic solutions have been obtained. The results confirmed the well-known nonlinear superposition principle.
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页数：11
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