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Wave breaking for nonlinear nonlocal shallow water equations

โœ Scribed by Adrian Constantin; Joachim Escher


Publisher
Springer Netherlands
Year
1998
Tongue
English
Weight
654 KB
Volume
181
Category
Article
ISSN
0001-5962

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On asymptotically equivalent shallow wat
โœ H.R. Dullin; G.A. Gottwald; D.D. Holm ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 179 KB

The integrable third-order Korteweg-de Vries (KdV) equation emerges uniquely at linear order in the asymptotic expansion for unidirectional shallow water waves. However, at quadratic order, this asymptotic expansion produces an entire family of shallow water wave equations that are asymptotically eq