𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Application of the -expansion method to (3 +1)-dimensional nonlinear evolution equations

✍ Scribed by Ming Song; Yuli Ge


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
316 KB
Volume
60
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis


Kadomtsev-Petviashvili equation (3 +1)-dimensional potential-YTSF equation (3 +1)-dimensional Jimbo-Miwa equation Traveling wave solutions a b s t r a c t In this paper, the ( G G )-expansion method is employed to solve the (3 +1)-dimensional Kadomtsev-Petviashvili (KP) equation, the (3 +1)-dimensional potential-YTSF equation and the (3 +1)-dimensional Jimbo-Miwa (JM) equation. Exact traveling wave solutions are obtained. The traveling wave solutions are expressed in terms of hyperbolic functions, the trigonometric functions and the rational functions.


πŸ“œ SIMILAR VOLUMES


The application of differential transfor
✍ Hessameddin Yaghoobi; Mohsen Torabi πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 430 KB

In this paper two nonlinear heat transfer problems were solved by considering variable specific heat coefficient. The calculations are carried out by using differential transformation method (DTM) which is a semi-numerical-analytical solution technique. By using DTM, the nonlinear constrained govern

Application of the implicit Fourier-expa
✍ Aleksei I. Shestakov πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 601 KB

The iterative method of finding solutions to three-dimensional equilibria is discussed. The implicit Fourier-expansion method is briefly described and applied to the linear problems arising in the iterative loops. The paper shows how to efficiently solve for the magnetic field induced by the plasma.