𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Exp-function method for solving nonlinear evolution equations with higher order nonlinearity

✍ Scribed by Yusuf Gurefe; Emine Misirli


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
225 KB
Volume
61
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis


In this paper, the Exp-function method is used to obtain generalized solitary solutions of the generalized Drinfel'd-Sokolov-Wilson (DSW) system and the generalized (2 + 1)dimensional Burgers-type equation. Then, some of the solitary solutions are converted to periodic solutions or hyperbolic function solutions by a simple transformation. The results show that the Exp-function method is a powerful and convenient mathematical tool for solving nonlinear evolution equations with higher order nonlinearity.


πŸ“œ SIMILAR VOLUMES


Some higher-order modifications of Newto
✍ YoonMee Ham; Changbum Chun; Sang-Gu Lee πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 453 KB

In this paper we consider constructing some higher-order modifications of Newton's method for solving nonlinear equations which increase the order of convergence of existing iterative methods by one or two or three units. This construction can be applied to any iteration formula, and per iteration t

Some modifications of Newton’s method wi
✍ Liang Fang; Guoping He πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 462 KB

step iterative method Order of convergence a b s t r a c t In [YoonMee Ham etal., Some higher-order modifications of Newton's method for solving nonlinear equations, J. Comput. Appl. Math., 222 (2008) 477-486], some higher-order modifications of Newton's method for solving nonlinear equations are c

New eighth-order iterative methods for s
✍ Xia Wang; Liping Liu πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 310 KB

## a b s t r a c t In this paper, three new families of eighth-order iterative methods for solving simple roots of nonlinear equations are developed by using weight function methods. Per iteration these iterative methods require three evaluations of the function and one evaluation of the first der