Group analysis of KdV equation with time dependent coefficients
β Scribed by A.G. Johnpillai; C.M. Khalique
- Book ID
- 108051823
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 211 KB
- Volume
- 216
- Category
- Article
- ISSN
- 0096-3003
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π SIMILAR VOLUMES
we study the asymptotic hehaviour in time of the solutions of a class of evolution equations whose simplest representative would be the Korteweg de Vries equation with variable coefficients. Specific rates of decay are given in either the "conservative" or the dissipative case.
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 a