EXACT SOLITON SOLUTIONS AND QUASI-PERIODIC WAVE SOLUTIONS TO THE FORCED VARIABLE-COEFFICIENT KdV EQUATION

被引：3
|
作者：
Zhang, Yi [1 ]
Cheng, Zhilong [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2012年 / 26卷 / 19期
基金：
中国国家自然科学基金;
关键词：
Forced variable-coefficient KdV equation; Hirota bilinear method; soliton solutions; periodic wave solutions; MULTISOLITON SOLUTIONS; BACKLUND TRANSFORMATION; EVOLUTION-EQUATIONS; 2+1 DIMENSIONS; KP EQUATION;
D O I：
10.1142/S0217979212500725
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this paper, the time-dependent variable-coefficient KdV equation with a forcing term is considered. Based on the Hirota bilinear method, the bilinear form of this equation is obtained, and the multi-soliton solutions are studied. Then the periodic wave solutions are obtained by using Riemann theta function, and it is also shown that classical soliton solutions can be reduced from the periodic wave solutions.
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页数：18
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