A generalized new auxiliary equation method and its application to the (2+1)-dimensional breaking soliton equations

[1]  Zhang Sheng,et al.  Symbolic computation and new families of exact non-travelling wave solutions of (2 + 1)-dimensional Konopelchenko–Dubrovsky equations , 2007 .

[2]  Zhang Sheng,et al.  The periodic wave solutions for the (2 + 1)-dimensional Konopelchenko–Dubrovsky equations , 2006 .

[3]  Ji-Huan He,et al.  Exp-function method for nonlinear wave equations , 2006 .

[4]  Sirendaoreji A new auxiliary equation and exact travelling wave solutions of nonlinear equations , 2006 .

[5]  Tiecheng Xia,et al.  A further improved extended Fan sub-equation method and its application to the (3+1)-dimensional Kadomstev Petviashvili equation , 2006 .

[6]  Zhang Sheng,et al.  Symbolic Computation and New Families of Exact Non-travelling Wave Solutions of (2+1)-dimensional Broer–Kaup Equations , 2006 .

[7]  Yong Chen,et al.  Weierstrass semi-rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system , 2006, Appl. Math. Comput..

[8]  Yong Chen,et al.  A unified rational expansion method to construct a series of explicit exact solutions to nonlinear evolution equations , 2006, Appl. Math. Comput..

[9]  Ji-Huan He SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS , 2006 .

[10]  Abdul-Majid Wazwaz,et al.  The sine-cosine and the tanh methods: Reliable tools for analytic treatment of nonlinear dispersive equations , 2006, Appl. Math. Comput..

[11]  Zhang Hong-qing,et al.  On a Generalized Extended F-Expansion Method , 2006 .

[12]  Chunping Liu,et al.  A note on the auxiliary equation method for solving nonlinear partial differential equations , 2006 .

[13]  Ji-Huan He Application of homotopy perturbation method to nonlinear wave equations , 2005 .

[14]  E. V. Krishnan,et al.  Two Classes of New Exact Solutions to (2+1)-Dimensional Breaking Soliton Equation , 2005 .

[15]  Abdul-Majid Wazwaz,et al.  The tanh method for generalized forms of nonlinear heat conduction and Burgers-Fisher equations , 2005, Appl. Math. Comput..

[16]  Abdul-Majid Wazwaz,et al.  The tanh and the sine-cosine methods for compact and noncompact solutions of the nonlinear Klein-Gordon equation , 2005, Appl. Math. Comput..

[17]  Zhibin Li,et al.  Exact travelling wave solutions of the Whitham–Broer–Kaup and Broer–Kaup–Kupershmidt equations , 2005 .

[18]  Peng Yan-ze New Exact Solutions for (2+1)-Dimensional Breaking Soliton Equation , 2005 .

[19]  Ji-Huan He,et al.  Variational approach to (2+1)-dimensional dispersive long water equations , 2005 .

[20]  Hu Junqi,et al.  An algebraic method exactly solving two high-dimensional nonlinear evolution equations , 2005 .

[21]  J. Meng,et al.  New localized coherent structures to the (2+1)-dimensional breaking soliton equation [rapid communication] , 2004 .

[22]  Sirendaoreji New exact travelling wave solutions for the Kawahara and modified Kawahara equations , 2004 .

[23]  Magdy A. El-Tawil,et al.  The Solution of KdV and mKdV Equations Using Adomian Pade Approximation , 2004 .

[24]  Li Biao,et al.  Symbolic Computation and Construction of Soliton-Like Solutions to the (2+1)-Dimensional Breaking Soliton Equation , 2003 .

[25]  Sun Jiong,et al.  Auxiliary equation method for solving nonlinear partial differential equations , 2003 .

[26]  Mingliang Wang,et al.  Periodic wave solutions to a coupled KdV equations with variable coefficients , 2003 .

[27]  Hang-yu Ruan,et al.  On the coherent structures of (2+1)-dimensional breaking soliton equation , 2002 .

[28]  Zuntao Fu,et al.  JACOBI ELLIPTIC FUNCTION EXPANSION METHOD AND PERIODIC WAVE SOLUTIONS OF NONLINEAR WAVE EQUATIONS , 2001 .

[29]  Chuntao Yan A simple transformation for nonlinear waves , 1996 .

[30]  Mingliang Wang Exact solutions for a compound KdV-Burgers equation , 1996 .

[31]  M. Lakshmanan,et al.  Dromion like structures in the (2+1)-dimensional breaking soliton equation , 1995 .

[32]  W. Malfliet Solitary wave solutions of nonlinear wave equations , 1992 .

[33]  M. Ablowitz,et al.  Solitons, Nonlinear Evolution Equations and Inverse Scattering , 1992 .

[34]  M. Tabor,et al.  The Painlevé property for partial differential equations , 1983 .

[35]  R. Hirota Exact solution of the Korteweg-deVries equation for multiple collision of solitons , 1971 .