Linear Stability of Solitary Waves for the one-dimensional Benney-Luke Equation
نویسنده
چکیده
In the last two decades there has been considerable research on model water wave equations and the stability of their solitary waves. Among them, the Boussinesq type models such as [2], [3] and [4] describe small amplitude long waves in water of finite length. In this paper we will study the one-dimensional Benney-Luke equation. Our goal is twofold we aim to illustrate the usefulness of the abstract criteria for stability developed in [9] as well as to supplement with rigorous computation of the wave speeds the orbital stability results for Benney-Luke equation developed in [8].
منابع مشابه
Linear Stability of Solitary Waves for the One-dimensional Benney-luke and Klein-gordon Equations
————————————————————————————————————– The linear stability of the solitary waves for the one-dimensional Benney-Luke equation in the case of strong surface tension is investigated rigorously and the critical wave speeds are computed explicitly. For the Klein-Gordon equation, the stability of the traveling standing waves is considered and the exact ranges of the wave speeds and the frequencies n...
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