𝔖 Bobbio Scriptorium
✦   LIBER   ✦

New exact solutions for a generalized variable coefficients 2D KdV equation

✍ Scribed by S.A. Elwakil; S.K. El-labany; M.A. Zahran; R. Sabry


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

No coin nor oath required. For personal study only.

✦ Synopsis


Using homogeneous balance method an auto-B€ a acklund transformation for a generalized variable coefficients 2D KdV equation is obtained. Then new exact solutions are found which include solitary one. Also, we have found certain new analytical soliton-typed solution in terms of the variable coefficients of the studied 2D KdV equation.


πŸ“œ SIMILAR VOLUMES


Solitary wave solutions for a generalize
✍ Houria Triki; Thiab R. Taha; Abdul-Majid Wazwaz πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 126 KB

In this work, a generalized time-dependent variable coefficients combined KdV-mKdV (Gardner) equation arising in plasma physics and ocean dynamics is studied. By means of three amplitude ansatz that possess modified forms to those proposed by Wazwaz in 2007, we have obtained the bell type solitary w

Exact solitary wave solutions for a gene
✍ M.M. Hassan πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 92 KB

Using the special truncated expansion method, the solitary wave solutions are constructed for the compound Korteweg-de Vries-Burgers (KdVB) equation. Exact and explicit solitary wave solutions for a generalized KdVB equation are obtained by introducing a suitable ansatz equation. The generalized two

New exact kink solutions and periodic fo
✍ Zitian Li; Xiufeng Zhang πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 161 KB

In this short letter, with the aid of symbolic computational system Mathematic, new exact solutions including kink solutions, soliton-like solutions and periodic form solutions for a generalized Zakharov-Kuznetsov equation with variable coefficients are obtained using the generalized Riccati equatio