Abstract
In this paper, we establish local existence of solutions of a variant of a system derived by Choi and Camassa [Weakly nonlinear internal waves in a two-fluids system, J. Fluid Mech. 313 (1996) 83–103] to describe the propagation of an internal wave at the interface of two immiscible fluids with constant densities. We also present a numerical solver to approximate the solutions of the Cauchy problem.
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