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Pseudopotentials and the inverse scattering problems of the generalized Korteweg-de vries equation

✍ Scribed by Hedley C. Morris

Publisher
Springer
Year
1977
Tongue
English
Weight
202 KB
Volume
16
Category
Article
ISSN
0020-7748

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The generalized KdV-Burgers equation u t +(Ξ΄u xx +g(u)) x -Ξ½u xx +Ξ³ u = f (x), Ξ΄, Ξ½ > 0, Ξ³ β‰₯ 0, is considered in this paper. Using the parabolic regularization technique we prove local and global solvability in H 2 (R) of the Cauchy problem for this equation. Several regularity properties of the app