摘要
借助Ｍａｔｈｅｍａｔｉｃａ软件，采用三角函数法和吴文俊消元法，获得了一类非线性演化方程ｕｔｔ＋ａｕｘｘ＋ｂｕ＋ｃｕ３＝０的三组行波解，其中包括新的行波解、扭状孤波解和钟状孤波解．从而作为该方程的特例，如Ｄｕｆｉｎｇ方程，ＫｌｅｉｎＧｏｒｄｏｎ方程、ＬａｎｄａｕＧｉｎｂｕｒｇＨｉｇｇｓ方程和４方程等也都获得了相应的若干行波解．这种方法也适用于其他非线性方程．
Abstract In this paper, with the help of Mathematica, three travelling wave solutions for a class of nonlinear evolution equations u tt +au xx +bu+cu 3 =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.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
1999年第1期1-5,共5页
Acta Physica Sinica
基金
国家自然科学基金
