Advances in Differential Equations
- Adv. Differential Equations
- Volume 3, Number 1 (1998), 51-84.
Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations
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.
Adv. Differential Equations Volume 3, Number 1 (1998), 51-84.
First available in Project Euclid: 19 April 2013
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Chen, Hongqiu; Bona, Jerry L. Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations. Adv. Differential Equations 3 (1998), no. 1, 51--84. https://projecteuclid.org/euclid.ade/1366399905.