Coupled system of Korteweg-de Vries equations type in domains with moving boundaries

DOI10.1016/j.cam.2007.08.008zbMath1158.65056OpenAlexW2083808593MaRDI QIDQ939531

Eleni Bisognin, Mauricio Sepúlveda, Vanilde Bisognin, Octavio P. Vera Villagrán

Publication date: 22 August 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.08.008

zbMATH Keywords

stabilityinitial-boundary value problemsolitary wavesnumerical examplesmoving boundariesstrong interactionscoupled system of equations Korteweg-de Vries typeFaedo-Galerkin methodssemi-implicit finite difference scheme

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (8)

On the exponential decay of solutions of a coupled system of dissipative Benjamin-Bona-Mahony type equations in domain with moving boundaries ⋮ Stabilization for a Fourth Order Nonlinear Schrödinger Equation in Domains with Moving Boundaries ⋮ Analyticity and smoothing effect for the coupled system of equations of Korteweg-de Vries type with a single point singularity ⋮ Asymptotic behaviour for a nonlinear Schrödinger equation in domains with moving boundaries ⋮ Smoothing properties for a coupled system of nonlinear evolution dispersive equations ⋮ 1-soliton solution of the coupled KdV equation and Gear-Grimshaw model ⋮ Uniform stabilization of numerical schemes for the critical generalized Korteweg-de Vries equation with damping ⋮ Problems on time-varying domains: formulation, dynamics, and challenges

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