Exact solutions for nonlinear evolution equations using novel test function
暂无分享,去创建一个
[1] W. Hereman,et al. The tanh method: I. Exact solutions of nonlinear evolution and wave equations , 1996 .
[2] M. Kaplan,et al. A generalized Kudryashov method to some nonlinear evolution equations in mathematical physics , 2016 .
[3] Zuntao Fu,et al. JACOBI ELLIPTIC FUNCTION EXPANSION METHOD AND PERIODIC WAVE SOLUTIONS OF NONLINEAR WAVE EQUATIONS , 2001 .
[4] J. Nimmo,et al. On the combinatorics of the Hirota D-operators , 1996, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[5] Yong Chen,et al. PDEBellII: A Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equations , 2014, Comput. Phys. Commun..
[6] Masaki Kashiwara,et al. KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI– , 1981 .
[7] Abdul-Majid Wazwaz,et al. Multiple-soliton solutions for a (3 + 1)-dimensional generalized KP equation , 2012 .
[8] Ji-Huan He,et al. Exp-function method for nonlinear wave equations , 2006 .
[9] Wenxiu Ma,et al. Complexiton solutions to integrable equations , 2005, nlin/0502035.
[10] Manjit Singh,et al. Bäcklund transformations, Lax system, conservation laws and multisoliton solutions for Jimbo-Miwa equation with Bell-polynomials , 2016, Commun. Nonlinear Sci. Numer. Simul..
[11] 広田 良吾,et al. The direct method in soliton theory , 2004 .
[12] Wen-Xiu Ma,et al. Computers and Mathematics with Applications Linear Superposition Principle Applying to Hirota Bilinear Equations , 2022 .
[13] Adem C. Cevikel,et al. A procedure to construct exact solutions of nonlinear evolution equations , 2012 .
[14] A. Bekir. Multisoliton solutions to Cahn-Allen equation using double exp-function method , 2012 .
[15] Tiecheng Xia,et al. A further improved extended Fan sub-equation method and its application to the (3+1)-dimensional Kadomstev Petviashvili equation , 2006 .
[16] Wen-Xiu Ma,et al. Solving the (3 + 1)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm , 2012, Appl. Math. Comput..
[17] Wen-Xiu Ma,et al. A bilinear Bäcklund transformation of a (3+1) -dimensional generalized KP equation , 2012, Appl. Math. Lett..
[18] G. Bluman,et al. Symmetry and Integration Methods for Differential Equations , 2002 .
[19] Liu Na. Bäcklund transformation and multi-soliton solutions for the (3+1)-dimensional BKP equation with Bell polynomials and symbolic computation , 2015 .
[20] Rajesh Kumar Gupta,et al. Symmetry analysis and some exact solutions of cylindrically symmetric null fields in general relativity , 2011 .
[21] Masaki Kashiwara,et al. Transformation groups for soliton equations: IV. A new hierarchy of soliton equations of KP-type , 1982 .
[22] W. Malfliet. Solitary wave solutions of nonlinear wave equations , 1992 .
[23] Ryogo Hirota,et al. Direct method of finding exact solutions of nonlinear evolution equations , 1976 .
[24] Tang Ya-Ning,et al. Grammian and Pfaffian solutions as well as Pfaffianization for a (3+1)-dimensional generalized shallow water equation , 2012 .
[25] M. Ablowitz,et al. Solitons, Nonlinear Evolution Equations and Inverse Scattering , 1992 .
[26] Manjit Singh. New exact solutions for (3+1)-dimensional Jimbo–Miwa equation , 2016 .
[27] Mingliang Wang,et al. Periodic wave solutions to a coupled KdV equations with variable coefficients , 2003 .
[28] Bo Tian,et al. Beyond travelling waves: a new algorithm for solving nonlinear evolution equations , 1996 .