Solitary solution of modified bad and good Boussinesq equation by using of tanh and extended tanh methods

作者: Gh. Forozani , M. Ghorveei Nosrat

DOI: 10.1007/S13226-013-0026-7

关键词:

摘要: In this work, a mathematical approach based on the reduction of order for solving ordinary differential equations, standard tanh method and extended has been used to obtain solutions modified bad Boussinesq good equations.

参考文章(20)
Yan Zhen-ya, Zhang Hong-qing, AUTO-DARBOUX TRANSFORMATION AND EXACT SOLUTIONS OF THE BRUSSELATOR REACTION DIFFUSION MODEL Applied Mathematics and Mechanics-english Edition. ,vol. 22, pp. 541- 546 ,(2001) , 10.1007/BF02437743
Abdul-Majid Wazwaz, A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation Applied Mathematics and Computation. ,vol. 123, pp. 205- 217 ,(2001) , 10.1016/S0096-3003(00)00065-5
M. Rafei, D.D. Ganji, H.R. Mohammadi Daniali, H. Pashaei, Application of homotopy perturbation method to the RLW and generalized modified Boussinesq equations Physics Letters A. ,vol. 364, pp. 1- 6 ,(2007) , 10.1016/J.PHYSLETA.2006.11.047
Willy Malfliet, Willy Hereman, The tanh method: II. Perturbation technique for conservative systems Physica Scripta. ,vol. 54, pp. 569- 575 ,(1996) , 10.1088/0031-8949/54/6/004
Abdul-Majid Wazwaz, The tanh method for traveling wave solutions of nonlinear equations Applied Mathematics and Computation. ,vol. 154, pp. 713- 723 ,(2004) , 10.1016/S0096-3003(03)00745-8
Clifford S. Gardner, John M. Greene, Martin D. Kruskal, Robert M. Miura, Method for solving the Korteweg-deVries equation Physical Review Letters. ,vol. 19, pp. 1095- 1097 ,(1967) , 10.1103/PHYSREVLETT.19.1095
Zhengde Dai, Jian Huang, Murong Jiang, Shenghua Wang, Homoclinic orbits and periodic solitons for Boussinesq equation with even constraint Chaos, Solitons & Fractals. ,vol. 26, pp. 1189- 1194 ,(2005) , 10.1016/J.CHAOS.2005.02.025
Abdul-Majid Wazwaz, Compactons and solitary wave solutions for the Boussinesq wave equation and its generalized form Applied Mathematics and Computation. ,vol. 182, pp. 529- 535 ,(2006) , 10.1016/J.AMC.2006.04.014