Rippling rectangular waves for a modified Benney equation
نویسندگان
چکیده
منابع مشابه
Linear Stability of Solitary Waves for the one-dimensional Benney-Luke Equation
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 abs...
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Rippling is a special type of rewriting which uses annotations to guide the derivation towards a particular goal. It has many desirable properties. For example, it terminates yet allows rules like associativity to be used in both directions; it is also highly goal-directed applying only those rewrite rules needed to remove the diierences between the goal and some hypothesis. Although it has bee...
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We study asymptotic stability of solitary wave solutions in the one-dimensional Benney-Luke equation, a formally valid approximation for describing two-way water wave propagation. For this equation, as for the full water wave problem, the classic variational method for proving orbital stability of solitary waves fails dramatically due to the fact that the second variation of the energy-momentum...
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ژورنال
عنوان ژورنال: Japan Journal of Industrial and Applied Mathematics
سال: 2018
ISSN: 0916-7005,1868-937X
DOI: 10.1007/s13160-018-0304-1