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Filtering by: Subject Nonlinear wave equations Decade 1990-1999 Subject Hamiltonian systems

Application of the generalized Melnikov method to weakly damped parametrically excited cross waves with surface tension

Creator:

Fadel, Suzan M.

Abstract:

The Wiggins-Holmes extension of the generalized Melnikov method (GMM) is applied to weakly damped parametrically excited cross waves with surface tension in a long rectangular wave channel in order to determine if these cross waves are chaotic. The Lagrangian density function for surface waves with surface tension is simplified by...

Resource Type:

Dissertation

Full Text:

) prove that the evolution equation governing the cross waves is nonlinear Schrodinger equation with