𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Soliton solutions for a generalized KdV and BBM equations with time-dependent coefficients

✍ Scribed by Abdul-Majid Wazwaz; Houria Triki


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
185 KB
Volume
16
Category
Article
ISSN
1007-5704

No coin nor oath required. For personal study only.

✦ Synopsis


A generalized KdV equation with time-dependent coefficients will be studied. The BBM equation with time-dependent coefficients and linear damping term will also be examined. The wave soliton ansatz will be used to obtain soliton solutions for both equations. The conditions of existence of solitons are presented.


πŸ“œ SIMILAR VOLUMES


On soliton solutions for a generalized H
✍ A.S. Abdel Rady; E.S. Osman; Mohammed Khalfallah πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 229 KB

The extended homogeneous balance method is used to construct exact traveling wave solutions of a generalized Hirota-Satsuma coupled KdV equation, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation, respectively. M

Lie group classification and invariant s
✍ A.G. Johnpillai; C.M. Khalique πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 214 KB

This paper studies the modified Korteweg-de Vries equation with time variable coefficients of the damping and dispersion using Lie symmetry methods. We carry out Lie group classification with respect to the time-dependent coefficients. Lie point symmetries admitted by the mKdV equation for various f

A Stochastic Differential Equation with
✍ B.V.R. Bhat; K.B. Sinha πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 511 KB

Unitary solutions of a class of stochastic equations (SDE) in Fock space with time-dependent unbounded operator coefficients are constructed as a limit of a random Trotter Kato product. Some special cases of quantum stochastic differential equations are studied as an application. 1993 Academic Press