Conservation laws of KdV equation with time dependent coefficients
β Scribed by A.G. Johnpillai; C.M. Khalique
- Book ID
- 108097087
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 236 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1007-5704
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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.
An alternative method to construct a class of conservation laws of the KdV equation based on the classical Appell's lemma and the trace formulas of Deift-Trubowitz type is studied. A new type of infinite sequence of conservation laws whose local densities cannot be expressed in terms of differential