Higher-dimensional KdV equations and their soliton solutions

被引：0
|
作者：
Zhang, YF [1 ]
Honwah, T
Zhao, J
机构：
[1] Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R China
[2] Hong Kong Baptist Univ, Dept Comp Sci, Hong Kong, Hong Kong, Peoples R China
[3] Dalian Univ, Informat Sch, Dalian 116622, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2006年 / 45卷 / 03期
关键词：
bilinear operator; KdV equation; soliton equation;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A (2+1)-dimensional KdV equation is obtained by use of Hirota method, which possesses N-soliton solution, specially its exact two-soliton solution is presented. By employing a proper algebraic transformation and the Riccati equation, a type of bell-shape soliton solutions are produced via regarding the variable in the Riccati equation as the independent variable. Finally, we extend the above (2+1)-dimensional KdV equation into (3+1)-dimensional equation, the two-soliton solutions are given.
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页码：411 / 413
页数：3
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