New solitary wave solutions to nonlinear evolution equations by the Exp-function method
نویسندگان
چکیده
منابع مشابه
New Solitary and Periodic Solutions of Nonlinear Evolution Equation by Exp-function Method
In this article, some fresh solitary and periodic solutions of the Gardner equation have been explored with free parameters via the Exp -function method. The solutions are presented in terms of hyperbolic and trigonometric functions. The solutions and are revealed in figures. The symbolic computation software, such as, Maple 13, make the solution procedure straightforward and concise. AMS subje...
متن کاملSolutions of Nonlinear Differential Equations by Exp-function Method
Abstract: In this paper, we apply the exp-function method to construct solutions of nonlinear differential equations which arise in various branches of physics, engineering and applied sciences. The proposed scheme proves to be very efficient and compatible to deal with the nonlinearity and versatility of the problems. Numerical results clearly indicate the reliability and efficiency of the sug...
متن کاملNew Explicit Exact Solutions of Nonlinear Evolution Equations Using the Generalized Auxiliary Equation Method Combined with Exp-function Method
Abstract:In this paper, we utilize the Exp-function method with symbolic computational system Maple to constructing generalized solitary solutions of auxiliary equation. With the aid of auxiliary equation and its generalized solitary solutions, new exact solutions with three arbitrary functions of two nonlinear evolution equations in physics, namely, higher-order nonlinear Schrodinger equation ...
متن کاملA new algorithm for automatic computation of solitary wave solutions to nonlinear partial differential equations based on the Exp-function method
In their recent manuscript Lei Zhao et al. claim that they have constructed an algorithm for automatic construction of solitary wave solutions to nonlinear partial differential equations based on the Exp-function method. We argue that this algorithm does inherit all problems associated to the Exp-function method. We show that this algorithm produces solutions which do not satisfy the original d...
متن کاملNew explicit and Soliton Wave Solutions of Some Nonlinear Partial Differential Equations with Infinite Series Method
To start with, having employed transformation wave, some nonlinear partial differential equations have been converted into an ODE. Then, using the infinite series method for equations with similar linear part, the researchers have earned the exact soliton solutions of the selected equations. It is required to state that the infinite series method is a well-organized method for obtaining exact s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2011
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2010.08.083