Numerical study of the generalised Klein-Gordon equations
نویسندگان
چکیده
In this study, we discuss an approximate set of equations describing water wave propagating in deep water. These generalized Klein–Gordon (gKG) equations possess a variational formulation, as well as a canonical Hamiltonian and multi-symplectic structures. Periodic travelling wave solutions are constructed numerically to high accuracy and compared to a seventh-order Stokes expansion of the full Euler equations. Then, we propose an efficient pseudo-spectral discretisation, which allows to assess the stability of travelling waves and localised wave packets.
منابع مشابه
Numerical solution of Klein-Gordon equation by using the Adomian's decomposition and variational iterative methods
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