Stability and instability of solitary waves for a nonlinear dispersive system

DOI10.1016/S0362-546X(97)00724-4zbMath0923.35153MaRDI QIDQ4242676

Jaime Angulo Pava, Eduardo Alarcon, José Fábio Bezerra Montenegro

Publication date: 31 August 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

well-posednesscontraction principlecoupled KdV equationsnonlinear internal waves in a stratified liquid

Mathematics Subject Classification ID

Related Items (16)

Stability of the solitary wave solutions to a coupled BBM system ⋮ Stability of solitary waves for a nonlinear dispersive system in a critical case ⋮ Nonlinear stability of periodic-wave solutions for systems of dispersive equations ⋮ Global well-posedness for a coupled modified KdV system ⋮ Classical solutions for the coupled system gKdV equations ⋮ Well-posedness for a coupled system of Kawahara/KdV type equations ⋮ Stability and instability of solitary waves for a system of coupled BBM equations ⋮ Existence of travelling-wave solutions to a coupled system of Korteweg-de Vries equations ⋮ Uniform stabilization of a nonlinear dispersive system ⋮ On local well-posedness and ill-posedness results for a coupled system of mKdV type equations ⋮ Sharp well-posedness for a coupled system of mKDV-type equations ⋮ Solitary wave solutions and global well-posedness for a coupled system of gKdV equations ⋮ Instability of solitary waves in nonlinear composite media ⋮ Existence, orbital stability and instability of solitary waves for coupled BBM equations ⋮ Well-posedness for a coupled system of Kawahara/KdV type equations with polynomials nonlinearities ⋮ A remark on the local well-posedness for a coupled system of mKdV type equations in H^s × H^k

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