Complete characterization of algebraic traveling wave solutions for the Boussinesq, Klein–Gordon and Benjamin–Bona–Mahony equations

Chaos, Solitons & Fractals - Tập 95 - Trang 148-151 - 2017
Claudia Valls1
1Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049–001, Lisboa, Portugal

Tài liệu tham khảo

Benjamin, 1972, Model equations for long waves in nonlinear dispersive systems, Philos Trans Royal Soc London Series A Math Phys, 272, 47, 10.1098/rsta.1972.0032 Drazin, 1989 Fan, 2000, Extended tanh-function method and its applications to nonlinear equations, Phys Lett A, 277, 212, 10.1016/S0375-9601(00)00725-8 Gasull, 2015, Explicit travelling waves and invariant algebraic curves, Nonlinerity, 28, 1597, 10.1088/0951-7715/28/6/1597 Kaya, 2001, Explicit solutions of generalized nonlinear boussinesq equations, J Appl Math, 1, 29, 10.1155/S1110757X01000067 Khater, 2004, Travelling and periodic wave solutions of some nonlinear wave equations, Z Naturforsch, 59, 389, 10.1515/zna-2004-7-801 Lu, 1993, Solitary wave solutions for some systems of coupled nonlinear equations, Phys Lett A, 180, 61, 10.1016/0375-9601(93)90495-L Lu, 1993, Exact traveling wave solution of one class of nonlinear diffusion equations, Phys Lett A, 175, 113, 10.1016/0375-9601(93)90131-I Peregrine, 1966, Calculations of the development of an undular bore, J Fluid Mech, 25, 321, 10.1017/S0022112066001678 Polyanin, 2004 Sirendaoreji, 2006, A new auxiliary equation and exact travelling wave solutions of nonlinear equations, Phys Lett A, 356, 124, 10.1016/j.physleta.2006.03.034 Sirendaoreji, 2007, Auxiliaryequation method and new solutions of klein–gordon equations, Chaos Solit Fract, 31, 943, 10.1016/j.chaos.2005.10.048 Wang, 1996, Exact solutions for a compound kdv-burgers equation, Phys Lett A, 213, 279, 10.1016/0375-9601(96)00103-X Wazwaz, 2008, New travelling wave solutions to the boussinesq and the klein-gordon equations, Commun Nonlinear Sci, 13, 889, 10.1016/j.cnsns.2006.08.005 Whitham, 1974 Yan, 2002, New compacton soliton solutions and solitary patterns solutions of nonlinearly dispersive boussinesq equations, Comput Phys Commun, 149, 11, 10.1016/S0010-4655(02)00587-8 Yan, 2003, Constructing exact solutions for two-dimensional nonlinear dispersion boussinesq equation. II: solitary patterns solutions, Chaos Solit Fract, 18, 869, 10.1016/S0960-0779(03)00059-6 Yan, 2003, Abundant families of jacobi elliptic function solutions of the (2+1)-dimensional integrable daveystewartson-type equation via a new method, Chaos Solit Fract, 18, 299, 10.1016/S0960-0779(02)00653-7 Yan, 2006, Envelope compactons and solitary patterns, Phys Lett A, 355, 212, 10.1016/j.physleta.2006.02.032