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Equations for nonlinear waves on shallow water

โœ Scribed by Yakimov, A. Yu.


Book ID
119881938
Publisher
Springer
Year
2012
Tongue
English
Weight
69 KB
Volume
47
Category
Article
ISSN
0015-4628

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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