Explicit and exact solutions of the combined KdV equation

Shi Yu-ren; Lü Ke-Pu; Duan Wen-Shan; Hong Xue-Ren; Zhao Jin-Bao; Yang Hong-Juan

doi:10.7498/aps.52.267

Abstract
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).

Keywords:
combined KdV equation /

hyperbola function method /

solitary wave solution /

exact solution
Authors and contacts
Shi Yu-ren,

Lü Ke-Pu,

Duan Wen-Shan,

Hong Xue-Ren,

Zhao Jin-Bao,

Yang Hong-Juan

1.
西北师范大学物理与电子工程学院，兰州 730070
References

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Vol. 52, Issue 2 - 2003-01-20

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Explicit and exact solutions of the combined KdV equation

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