Soliton solutions for a generalized KdV and BBM equations with time-dependent coefficients
β Scribed by Abdul-Majid Wazwaz; Houria Triki
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 185 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1007-5704
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β¦ 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.
π SIMILAR VOLUMES
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
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
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