New Explicit and Exact Travelling Wave Solutions for a Class of Nonlinear Evolution Equations

XIA Tie-cheng; ZHANG Hong-qing; YAN Zhen-ya

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XIA Tie-cheng, ZHANG Hong-qing, YAN Zhen-ya. New Explicit and Exact Travelling Wave Solutions for a Class of Nonlinear Evolution Equations[J]. Applied Mathematics and Mechanics, 2001, 22(7): 701-705.

Citation:

XIA Tie-cheng, ZHANG Hong-qing, YAN Zhen-ya. New Explicit and Exact Travelling Wave Solutions for a Class of Nonlinear Evolution Equations[J]. Applied Mathematics and Mechanics, 2001, 22(7): 701-705.

Citation:

XIA Tie-cheng, ZHANG Hong-qing, YAN Zhen-ya. New Explicit and Exact Travelling Wave Solutions for a Class of Nonlinear Evolution Equations[J]. Applied Mathematics and Mechanics, 2001, 22(7): 701-705.

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New Explicit and Exact Travelling Wave Solutions for a Class of Nonlinear Evolution Equations

Department of Mathematics, Dalian University of Technology, Dalian 116024, P. R. China

Received Date: 2000-05-08
Rev Recd Date: 2001-03-23
Publish Date: 2001-07-15

Abstract

Abstract

With the help of Mathematica, many travelling wave solutions for a class of nonlinear evolution equations u_tt+au_xx+bu+cu²+du³=0 are obtained by using hyperbola function method and Wuelimation method, which include new travelling wave solutions, periodicl solutions and kink soliton solutions. Some equations such as Duffing equation, sin-Gordon equation, φ⁴ and Klein-Gordon equation are particular cases of the evolution equations. The method can also be applied to other nonlinear equations.
- equation,
- periodic solution,
- solitary wave solution

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References(10)

References

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