Multiple soliton solutions for the variant Boussinesq equations

被引：5
|
作者：
Guo, Peng [1 ,2 ,3 ]
Wu, Xiang [2 ,3 ]
Wang, Liang-bi [2 ,3 ]
机构：
[1] Lanzhou Jiaotong Univ, Sch Math & Phys, Lanzhou 730070, Peoples R China
[2] Lanzhou Jiaotong Univ, Sch Mechatron Engn, Lanzhou 730070, Peoples R China
[3] Lanzhou Jiaotong Univ, Minist Educ, Key Lab Railway Vehicle Thermal Engn, Lanzhou 730070, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2015年
基金：
中国国家自然科学基金;
关键词：
Hirota bilinear method; the variant Boussinesq equations; multiple soliton solutions; multiple singular soliton solutions; TRAVELING-WAVE SOLUTIONS; NONLINEAR EVOLUTION-EQUATIONS; HIROTA 3-SOLITON CONDITION; TANH-FUNCTION METHOD; EXP-FUNCTION METHOD; DE VRIES EQUATION; BILINEAR EQUATIONS; BURGERS-EQUATION; COLLISIONS; SYSTEM;
D O I：
10.1186/s13662-015-0371-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Hirota bilinear method is used to handle the variant Boussinesq equations. Multiple soliton solutions and multiple singular soliton solutions are formally established. It is shown that the Hirota bilinear method may provide us with a straightforward and effective mathematic tool for generating multiple soliton solutions of nonlinear wave equations in fluid mechanics.
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页数：11
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