Benny-Luke方方程和Phi-4方方程的精确行波解New travelling wave solutions to the Benny-Luke equation and the Phi-4 equations
陈立;何姝琦;董亚莹;
摘要(Abstract):
运用了tanh-coth展开法,得到了Benny-Luke方程和Phi-4方程的一些新的精确行波解.同时该方法也可用于其他的非线性演化方程.
关键词(KeyWords): tanh-coth展开法;Benny-Luke方程;Phi-4方程;精确行波解
基金项目(Foundation): 国家自然科学基金(11371293)
作者(Authors): 陈立;何姝琦;董亚莹;
参考文献(References):
- [1]Ali A T.New generalized Jocobi ellipic function rational expansion method[J].Comput.Appl.Math.,2011,235:4117-4127.
- [2]Akter J,Akbar M A.Exact solutions to the Benny-Luke equations and the Phi-4 equations by using modified simple equation method[J].Results in Physics,2015,5:125-130.
- [3]Wang M,Li X,Zhang J.The(G′/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics[J].Phys.Lett.A,2008,372:417-423.
- [4]Zayed E M E,Gepreel K A.The(G′/G)-expansion method for finding the travelling wave solutions of nonlinear evolution equations in mathematical physics[J].Math.Phys.,2009,50:013502-013514.
- [5]Mohyud S T,Yildirim A,Saruaydin S.Numerical solitons of the improved Boussinesq equation[J].Int.J.Numer.Method H.,2011,21:822-827.
- [6]Malfliet W.Solitary wave solutions of nonlinear wave equations[J].Am.J.Phys.,1992,60(7):650-654.
- [7]Wazwaz A M.New travelling wave solutions to the Boussinesq and the Klein-Gordon Equations[J].Commun.Nonlinear Sci.Numer.Simulat.,2008,13:889-901.
- [8]Wazwaz A M,Mona S M.A variety of exaction travelling wave solutions for the(2+1)-dimensional BoitiLeon-Pempinelli equation[J].Appl.Math.Comput.,2010,217:1484-1490.
- [9]Wazwaz A M.The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations[J].Appl.Math.Comput.,2007,188:1467-1475.
- [10]Dong Y Y,Zhang S L,Li S B.Invariant sets and solutions to a class of wave equations[J].Appl.Math.Comput.,2015,253:369-376.
- [11]Qu G Z,Zhang S L,Li Y L.Third-order nonlinear differential operators preserving invariant subspaces of maximal dimension[J].Chin.Phys.B,2014,23:110202.