Analytical and Traveling Wave Solutions to the Fifth Order Standard Sawada-Kotera Equation via the Generalized exp(-Φ(ξ))-Expansion Method  

作　　者：M. Y. Ali M. G. Hafez M. K. H. Chowdury M. T. Akter M. Y. Ali;M. G. Hafez;M. K. H. Chowdury;M. T. Akter(Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong, Bangladesh)

机构地区：[1]Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong, Bangladesh

出　　处：《Journal of Applied Mathematics and Physics》2016年第2期262-271,共10页应用数学与应用物理（英文）

摘　　要：In this article, we propose a generalized exp(-Φ(ξ))-expansion method and successfully implement it to find exact traveling wave solutions to the fifth order standard Sawada-Kotera (SK) equation. The exact traveling wave solutions are established in the form of trigonometric, hyperbolic, exponential and rational functions with some free parameters. It is shown that this method is standard, effective and easily applicable mathematical tool for solving nonlinear partial differential equations arises in the field of mathematical physics and engineering.In this article, we propose a generalized exp(-Φ(ξ))-expansion method and successfully implement it to find exact traveling wave solutions to the fifth order standard Sawada-Kotera (SK) equation. The exact traveling wave solutions are established in the form of trigonometric, hyperbolic, exponential and rational functions with some free parameters. It is shown that this method is standard, effective and easily applicable mathematical tool for solving nonlinear partial differential equations arises in the field of mathematical physics and engineering.

关 键 词：Generalized exp(-Φ(ξ))-Expansion Method Fifth Order Standard Sawada-Kotera Equation SOLITONS Periodic Wave Solutions 

分 类 号：O17[理学—数学]