Soliton Solutions for (2+1)-Dimensional Breaking Soliton Equation: Three Wave Method
نویسندگان
چکیده
By means of the three-wave method one can solve some nonlinear partial differential equations (NLPDEs) in their bilinear forms. When an NLPDE has no bilinear closed form we can not use this method. We modify the idea of three-wave method to obtain some analytic solutions for the (2+1)-dimensional Breaking soliton equation by obtaining a bilinear closed form for it. By comparison of this method and other analytic methods, like HAM, HTA and EHTA, we can see that the new idea is very easy and straightforward.
منابع مشابه
Elliptic Function Solutions of (2+1)-Dimensional Breaking Soliton Equation by Sinh-Cosh Method and Sinh-Gordon Expansion Method
In this paper, based on sinh-cosh method and sinh-Gordon expansion method,families of solutions of (2+1)-dimensional breaking soliton equation are obtained.These solutions include Jacobi elliptic function solution, soliton solution,trigonometric function solution.
متن کاملMulti-soliton of the (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff equation and KdV equation
A direct rational exponential scheme is offered to construct exact multi-soliton solutions of nonlinear partial differential equation. We have considered the Calogero–Bogoyavlenskii–Schiff equation and KdV equation as two concrete examples to show efficiency of the method. As a result, one wave, two wave and three wave soliton solutions are obtained. Corresponding potential energy of the solito...
متن کاملThe cosine method to Gardner equation and (2+1)- dimensional breaking soliton system
In this letter, we established a traveling wave solution by using cosine function algorithm for Gardnerequation and (2+1)-dimensional breaking soliton system. The cosine method is used to obtain theexact solution.
متن کاملTopological soliton solutions of the some nonlinear partial differential equations
In this paper, we obtained the 1-soliton solutions of the symmetric regularized long wave (SRLW) equation and the (3+1)-dimensional shallow water wave equations. Solitary wave ansatz method is used to carry out the integration of the equations and obtain topological soliton solutions The physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. Note t...
متن کاملSome Exact Solutions of the (2+1)-Dimensional Breaking Soliton Equation using the Three-wave Method
This paper considers the (2+1)-dimensional breaking soliton equation in its bilinear form. Some exact solutions to this equation are explicitly derived by the idea of three-wave solution method with the assistance of Maple. We can see that the new idea is very simple and straightforward. Keywords—Soliton solution, Computerized symbolic computation, Painlevé analysis, (2+1)-dimensional breaking ...
متن کاملExact Breather-Wave and Doubly Periodic Wave Solutions for the (2+1)-Dimensional Typical Breaking Soliton Equation
A broad general solutions including the breather type solitary wave solutions and doubly periodic wave solutions of the (2+1)-dimensional typical breaking soliton equation was derived by means of the Hirotas bilinear form and generalized three-wave type of ansätz approach. And, some mechanical features are given to demonstrate the interesting outcomes.
متن کامل