NEW EXPLICIT AND TRAVELLING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR EVOLUTION EQUATIONS

YAN ZHEN-YA; ZHANG HONG-QING; FAN EN-GUI

doi:10.7498/aps.48.1

Abstract
In this paper, with the help of Mathematica, three travelling wave solutions for a class of nonlinear evolution equations utt+auxx+bu+cu3=0 are obtained by trigonometric function method and Wu-eliminition method which include new trarelling wave solutions, bell soliton solutions and kink soliton solutions. Some equations such as Duffing equation, Klein-Gordon equation, Landau-Ginburg-Higgs equation and 4 equation are particular cases of the evolution equations. The method also can be applied to other nonlinear equations.
Authors and contacts
YAN ZHEN-YA,

ZHANG HONG-QING,

FAN EN-GUI

1.
大连理工大学数学科学研究所，大连 116024
References

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Vol. 48, Issue 1 - 1999-01-05

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NEW EXPLICIT AND TRAVELLING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR EVOLUTION EQUATIONS

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NEW EXPLICIT AND TRAVELLING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR EVOLUTION EQUATIONS

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