Exact solutions for the generalized nonlinear heat conduction equations using the exp-function method
β Scribed by Yi-Xin Wen; Xin-Wei Zhou
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 312 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
The exp-function method is used to find exact solutions of the generalized nonlinear heat conduction equations. The results obtained include all the solutions from the open literature as special cases.
π SIMILAR VOLUMES
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
The infiltration problem is one of the most interesting issues considered by geotechnical and water engineers. Many researchers have studied the infiltration problem and have developed models that can be categorized by analytical and numerical concepts. For nonlinear infiltration simulation, however
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
In this paper, Davey-Stewartson equation and coupled Klein-Gordon-SchrΓΆdinger (KGS) equations and homogeneous nonlinear convection-diffusion problem are solved using the Exp-function method. The capabilities and wide-range applications of the Exp-function method are illustrated. This method can be u
## a b s t r a c t In this paper, using the Exp-function method, we give some explicit formulas of exact traveling wave solutions for the Nizhnik-Novikov-Vesselov equation.