Asymptotic Expansions for One-Phase Soliton-Type Solutions of the Korteweg-De Vries Equation with Variable Coefficients
β Scribed by V. H. Samoilenko; Yu. I. Samoilenko
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 237 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0041-5995
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π SIMILAR VOLUMES
We consider the initial value problem of the variable coefficient and nonisospectral Korteweg-de Vries equation with variable boundary condition and smooth initial data decaying rapidly to zero as \(|x| \rightarrow \infty\). Using the method of inverse scattering we study the asymptotic behavior of
We study the following initial-boundary value problem for the Korteweg-de Vries-Burgers equation, 2 for t β β uniformly with respect to x > 0 where Ξ± = 0 1, 0 q t = q/ β Ο e -q 2 , 1 q t = 1/2 β Ο β t e -q 2 2q β t -1 + e -2q β t .