November/December 2015 Existence and non existence of solitons for a 1D Benney-Luke model of higher order
Octavio Montoya, José R. Quintero
Adv. Differential Equations 20(11/12): 1187-1220 (November/December 2015). DOI: 10.57262/ade/1439901074

Abstract

We shall establish the existence and non existence of solitons (travelling waves of finite energy) for a Benney-Luke equation of higher order, which includes models for long water waves with small amplitude. Following a variational approach, solitons are characterized as critical points of the action functional. Existence of solitons follows by the Concentration-Compactness principle by P.-L. Lions, applied to an appropriated minimization problem. It is also shown that solitons are smooth.

Citation

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Octavio Montoya. José R. Quintero. "Existence and non existence of solitons for a 1D Benney-Luke model of higher order." Adv. Differential Equations 20 (11/12) 1187 - 1220, November/December 2015. https://doi.org/10.57262/ade/1439901074

Information

Published: November/December 2015
First available in Project Euclid: 18 August 2015

MathSciNet: MR3388896
zbMATH: 1328.35178
Digital Object Identifier: 10.57262/ade/1439901074

Subjects:
Primary: 35B35 , 35Q35 , 76B25

Rights: Copyright © 2015 Khayyam Publishing, Inc.

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Vol.20 • No. 11/12 • November/December 2015
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