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Asymptotic solutions of the Cauchy problem for the singularly perturbed Korteweg-de Vries equation with variable coefficients

✍ Scribed by V. H. Samoilenko; Yu. I. Samoilenko

Publisher
Springer
Year
2007
Tongue
English
Weight
243 KB
Volume
59
Category
Article
ISSN
0041-5995

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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