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math-ph2016
Derivation of Generalized Camassa-Holm Equations from Boussinesq-type Equations
H. A. Erbay, S. Erbay, A. Erkip
In this paper we derive generalized forms of the Camassa-Holm (CH) equation from a Boussinesq-type equation using a two-parameter asymptotic expansion based on two small parameters…
math.AP2016★ 1 cited
The Camassa-Holm equation as the long-wave limit of the improved Boussinesq equation and of a class of nonlocal wave equations
H. A. Erbay, S. Erbay, A. Erkip
In the present study we prove rigorously that in the long-wave limit, the unidirectional solutions of a class of nonlocal wave equations to which the improved Boussinesq equation b…