Instability of solitary waves for a generalized Benney-Luke equation

DOI10.1016/j.na.2007.02.042zbMath1155.35081OpenAlexW1998925008MaRDI QIDQ2483364

Juan Carlos Muñoz Grajales, José Rául Quintero

Publication date: 28 April 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.02.042

zbMATH Keywords

Boussinesq equationgeneralized KdV equationtwo-way wave propagationRouche theorem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Soliton equations (35Q51)

Related Items

New dark-bright soliton in the shallow water wave model ⋮ Unnamed Item ⋮ Analytical studies on the Benney–Luke equation in mathematical physics ⋮ Travelling wave solutions to the Benney-Luke and the higher-order improved Boussinesq equations of Sobolev type ⋮ A study of a generalized Benney-Luke equation with time-dependent coefficients

Cites Work

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