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Instability of solitary waves for a generalized Benney–Luke equation

✍ Scribed by José Raúl Quintero; Juan Carlos Muñoz Grajales

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
1012 KB
Volume
68
Category
Article
ISSN
0362-546X

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✦ Synopsis

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.

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