The Eigenvalue Problem for Solitary Waves of the Green-Naghdi Equations
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Hamiltonian Structure and Linear Stability of Solitary Waves of the Green-Naghdi Equations
We investigate linear stability of solitary waves of a Hamiltonian system. Unlike weakly nonlinear water wave models, the physical system considered here is nonlinearly dispersive, and contains nonlinearity in its highest derivative term. This results in more detailed asymptotic analysis of the eigenvalue problem in presence of a large parameter. Combining the technique of singular perturbation...
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