N-Soliton Solution of the Higher Order Wave Equation for a Fluid of Finite Depth

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  • N Soliton Solution of the Higher Order

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Exact N-soliton solution of the higher order wave equation for a stratified fluid layer of finite depth is obtained by employing Hirota’s bilinear transformation method. The solution reduces to the N-soliton solution of the higher order Korteweg-de Vries equation in the shallow water limit and to that of the higher order Benjamin-Ono equation in the deep water limit. The asymptotic form of the solution for large time is derived.

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