Instability of solitary waves for a generalized Benney–Luke equation

Instability of solitary waves for a generalized Benney–Luke equation

We study linear instability of solitary wave solutions of a one-dimensional generalized Benney–Luke equation, which is a formally valid approximation for describing two-way water wave propagation in the presence of surface tension. Further, we implement a finite difference numerical scheme which com...

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Veröffentlicht in:Nonlinear analysis 2008-05, Vol.68 (10), p.3009-3033
Hauptverfasser: Quintero, José Raúl, Muñoz Grajales, Juan Carlos
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Sprache:eng
Schlagworte:
Boussinesq equation
Eigenvalue problem
Exact sciences and technology
Linear instability
Mathematical analysis
Mathematics
Sciences and techniques of general use
Solitary wave
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creator Quintero, José Raúl
Muñoz Grajales, Juan Carlos
description We study linear instability of solitary wave solutions of a one-dimensional generalized Benney–Luke equation, which is a formally valid approximation for describing two-way water wave propagation in the presence of surface tension. Further, we implement a finite difference numerical scheme which combines an explicit predictor and an implicit corrector step to compute solutions of the model equation which is used to validate the theory presented.
doi_str_mv 10.1016/j.na.2007.02.042
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subjects Boussinesq equation
Eigenvalue problem
Exact sciences and technology
Linear instability
Mathematical analysis
Mathematics
Sciences and techniques of general use
Solitary wave
title Instability of solitary waves for a generalized Benney–Luke equation
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