Explicit and exact solutions of the combined KdV equation

被引：29

作者：

Shi, YR ^{[1
]}

Lü, KP ^{[1
]}

Duan, WS ^{[1
]}

Hong, XR ^{[1
]}

Zhao, JB ^{[1
]}

Yang, HJ ^{[1
]}

机构：

[1] NW Normal Univ, Coll Phys & Elect Engn, Lanzhou 730070, Peoples R China

来源：

ACTA PHYSICA SINICA | 2003年 / 52卷 / 02期

关键词：

combined KdV equation; hyperbola function method; solitary wave solution; exact solution;

D O I：

10.7498/aps.52.267

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

With the aid of computer algebraic system "Mathematica" and by using the hyperbola function method, the exact and solitary wave solutions of the combined KdV equation are obtained, including the bell-like and the kink solitary wave solutions. The thought based on the hyperbola function method is extended, and more explicit and exact solutions are successfully derived, including shock wave type solutions with break point and exponential function type solutions This method can be used also to solve other nonlinear evolution equation(s).

引用

页码：267 / 270

页数：4

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