New multi-soliton solutions of a (3+1)-dimensional nonlinear evolution equation

In this paper, applying homoclinic test approach to a (3+1)-dimensional nonlinear evolution equation, new kink breather soliton solutions are obtained. In addition, some new multi-soliton solutions are obtained via three-wave method. It is shown that the homoclinic test approach and the three-wave method can be used for constructing multi-soliton solutions of nonlinear evolution equations in mathematical physics.

[1]  M. Najafi,et al.  A Modification of Extended Homoclinic Test Approach to Solve the (3+1)-Dimensional Potential-YTSF Equation , 2011 .

[2]  Mohammed K. Elboree,et al.  Variational approach, soliton solutions and singular solitons for new coupled ZK system , 2015, Comput. Math. Appl..

[3]  Yufeng Zhang,et al.  Bäcklund transformation and solutions of a (3 + 1)-dimensional nonlinear evolution equation , 2014, Appl. Math. Comput..

[4]  Xianguo Geng,et al.  Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations , 2003 .

[5]  Raj Kumar,et al.  Some more similarity solutions of the (2+1)-dimensional BLP system , 2015, Comput. Math. Appl..

[6]  Zhengde Dai,et al.  Applications of HTA and EHTA to YTSF Equation , 2009, Appl. Math. Comput..

[7]  M. Khalfallah,et al.  New periodic wave and soliton solutions for a Kadomtsev–Petviashvili (KP) like equation coupled to a Schrödinger equation , 2010 .

[8]  Zhengde Dai,et al.  New kink multi-soliton solutions for the (3+1)-dimensional potential-Yu-Toda-Sasa-Fukuyama equation , 2014, Appl. Math. Comput..

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

[10]  Zhaqilao,et al.  Positon, Negaton, Soliton and Complexiton Solutions to a Four-Dimensional Nonlinear Evolution Equation , 2009 .

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

[12]  Zhenhui Xu,et al.  Rogue wave for the (2+1)-dimensional Kadomtsev-Petviashvili equation , 2014, Appl. Math. Lett..

[13]  A. S. Abdel Rady,et al.  The homogeneous balance method and its application to the Benjamin-Bona-Mahoney (BBM) equation , 2010, Appl. Math. Comput..

[14]  Xiaoyong Wen.  N-Fold Darboux Transformation and Soliton Solutions for Toda Lattice Equation , 2011 .

[15]  Zhaqilao.  Rogue waves and rational solutions of a (3+1)-dimensional nonlinear evolution equation , 2013 .

[16]  Zhaqilao,et al.  DARBOUX TRANSFORMATION AND VARIOUS SOLUTIONS FOR A NONLINEAR EVOLUTION EQUATION IN (3 + 1)-DIMENSIONS , 2008 .

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

[18]  Xianguo Geng,et al.  N-soliton solution and its Wronskian form of a (3+1)-dimensional nonlinear evolution equation , 2007 .

[20]  C. S. Gardner,et al.  Method for solving the Korteweg-deVries equation , 1967 .

[21]  Lin Liang,et al.  Exact three-wave solution for higher dimensional KdV-type equation , 2010, Appl. Math. Comput..

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