๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

New exact travelling wave solutions for the Kawahara and modified Kawahara equations

โœ Scribed by Sirendaoreji

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
79 KB
Volume
19
Category
Article
ISSN
0960-0779

No coin nor oath required. For personal study only.

โœฆ Synopsis

By using the solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct the exact travelling wave solutions for nonlinear evolution equations. By this method the Kawahara and the modified Kawahara equations are investigated and new exact travelling wave solutions are explicitly obtained with the aid of symbolic computation.

๐Ÿ“œ SIMILAR VOLUMES

New exact travelling wave solutions of K
New exact travelling wave solutions of Kawahara type equations
โœ Bongsoo Jang ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 342 KB

The Auxiliary equation method is used to find analytic solutions for the Kawahara and modified Kawahara equations. It is well known that different types of exact solutions of the given auxiliary equation produce new types of exact travelling wave solutions to nonlinear equations. In this paper, new

Symbolic computation and new families of
Symbolic computation and new families of exact travelling solutions for the Kawahara and modified Kawahara equations
โœ E. YusufoฤŸlu; A. Bekir ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 209 KB

In this paper, we consider the nonlinear evolution equations such as Kawahara equation and modified Kawahara equation. By using the tanh method and an exp-function method, the travelling wave solutions for the these equations are presented. New exact travelling solutions are explicitly obtained with

New exact solutions for the Kawahara equ
New exact solutions for the Kawahara equation using Exp-function method
โœ Laila M.B. Assas ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 424 KB

In this paper, we applied the Exp-function method to solve the Kawahara equation. This method can be used to obtain new exact solutions and periodic solutions with parameters are obtained. It is shown that the Exp-function method, with the help of symbolic computation, provides a very effective and

A note on new exact solutions for the Ka
A note on new exact solutions for the Kawahara equation using Exp-function method
โœ Nikolai A. Kudryashov ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 180 KB

a b s t r a c t Exact solutions of the Kawahara equation by Assas [L.M.B. Assas, New Exact solutions for the Kawahara equation using Exp-function method, J. Comput. Appl. Math. 233 (2009) 97-102] are analyzed. It is shown that all solutions do not satisfy the Kawahara equation and consequently all n

New exact travelling wave solutions to t
New exact travelling wave solutions to the complex coupled KdV equations and modified KdV equation
โœ Huiqun Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 122 KB

By using some exact solutions of an auxiliary ordinary differential equation, a new direct algebraic method is described to construct the exact complex solutions for nonlinear partial differential equations. The method is implemented for the complex coupled KdV equations and modified KdV equation. N