1998 Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations
Jerry L. Bona, Hongqiu Chen
Adv. Differential Equations 3(1): 51-84 (1998). DOI: 10.57262/ade/1366399905

Abstract

Benjamin recently put forward a model equation for the evolution of waves on the interface of a two-layer system of fluids in which surface tension effects are not negligible. It is our purpose here to investigate the solitary-wave solutions of Benjamin's model. For a class of equations that includes Benjamin's model featuring conflicting contributions to dispersion from dynamic effects on the interface and surface tension, we establish existence of travelling-wave solutions. Using the recently developed theory of Li and Bona, we are also able to determine rigorously the spatial asymptotics of these solutions.

Citation

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Jerry L. Bona. Hongqiu Chen. "Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations." Adv. Differential Equations 3 (1) 51 - 84, 1998. https://doi.org/10.57262/ade/1366399905

Information

Published: 1998
First available in Project Euclid: 19 April 2013

zbMATH: 0944.35082
MathSciNet: MR1608077
Digital Object Identifier: 10.57262/ade/1366399905

Subjects:
Primary: 76B25
Secondary: 35Q35 , 76B45 , 76C10

Rights: Copyright © 1998 Khayyam Publishing, Inc.

Vol.3 • No. 1 • 1998
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