CMKP方程及GCMKPp方程的精确行波解Exact wave solutions of CMKP equation and GCMKPp equation
韩松,赵展辉,王琦,何晓莹,苏文龙
摘要(Abstract):
利用新的不同的辅助函数,通过齐次平衡法和F函数展开法,求得CMKP方程及其广义p次非线性CMKP方程(GCMKPp)新的精确行波解,包括纽结波解、奇异孤立波解和三角函数周期解.
关键词(KeyWords): CMKP方程;GCMKPp方程;孤立波解
基金项目(Foundation): 广西自然科学基金项目(2011GXNSFA018137)资助
作者(Author): 韩松,赵展辉,王琦,何晓莹,苏文龙
DOI: 10.16375/j.cnki.cn45-1395/t.2014.02.001
参考文献(References):
- [1]Wang M L,Zhou Y B,Li Z B.Application of a homogeneous balance method to exact solution of nonlinear equation in mathematical physics[J].Phys.Lett.A,1996,216:67-75.
- [2]Wang M L.Solitary wave solutions for variant Boussinesq equations[J].Phys.Lett.A,1995,199:169-172.
- [3]Fan E G.Extended tanh-function method and its applications to nonlinear equations[J].Phys.Lett.A,2000,277:212-218.
- [4]Parkes E J.,Duffy B R.Travelling solitary wave solutions to a compound KdV-Burgers Equation[J].Phys.Lett.A,1997,229:217-220.
- [5]Tam H W.A generalized Leznov lattice:bilinear form,Backlund transformation,an Lax pair[J].Applied Mathematics Letters,2004,17:35-42.
- [6]Hirota R,Hu X B,Tang X Y.A vector potential KdV equation and vector Ito equation:soliton solutions,bilinear Backlund transformations and Lax pairs[J].J.Math.Anal.Appl,2003,288:326-348.
- [7]Liu S K,Fu Z T,Liu S D,Zhou Q.Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations[J].Phys.Lett.A,2001,289:69–74.
- [8]Wang Q,Chen Y,Zhang H Q.A new Jacobi elliptic function rational expansion method and its application to(1+1)-dimensional dispersive long wave equation[J].Chaos,Solitons and Fractals,2005,23:477-483.
- [9]Dai Z D,Huang J,Jiang M R.Explicit homoclinic tube solutions and chaos for Zakharov system with periodic boundary[J].Phys.Lett.A,2006,352:411-415.
- [10]Dai Z D,Huang J.Homoclinic tubes for the Davey-Stewartson II equation with periodic boundary conditions[J].J.Chin.Phys,2005,43:349-356.
- [11]Wang M L,Li X Z,Zhang J L.The(G’/G)-expansion method and travelling wave Solutions of nonlinear evolution equations in mathematical physics[J].Phys.Lett.A,2008,372:417-423.
- [12]赵展辉,何晓莹,韩松.“三波法”在(2+1)维MNNV方程组中的应用[J].广西工学院学报,2012(3):4-13.
- [13]施业琼,韩松.耦合修正Kadomtsev-Petviashvili方程的行波解[J].广西工学院学报,2008(1):9-12.
- [14]Erbay S.Coupled modified Kadomtsev-Petviashvili equation in dispersive elastic media[J].Non-Linear Mechanics,1999,34:289-297.
文章评论(Comment):
|
||||||||||||||||||
|
||||||||||||||||||