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On KdV type equations

โœ Scribed by G. Adomian


Book ID
108396033
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
157 KB
Volume
88
Category
Article
ISSN
0096-3003

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Dispersive Smoothing Effects for KdV Typ
โœ Hongsheng Cai ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 424 KB

In this paper we study the smoothness properties of solutions of some nonlinear equations of Korteweg de Vries (KdV) type, which are of the form where x # R, u j = j x u, and k and j are nonnegative integers. Our principal condition is that a(x, t) be positive and bounded, so that the dispersion is