The initial-boundary value problem for the Schrödinger–Korteweg–de Vries system on the half-line

DOI10.1142/S0219199718500669zbMath1425.35172arXiv1608.06308OpenAlexW2964053892MaRDI QIDQ5244375

Márcio André Araújo Cavalcante, Adán J. Corcho

Publication date: 21 November 2019

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.06308

zbMATH Keywords

local well-posednessSchrödinger-KdV equations on the half-line

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (7)

Forcing operators on star graphs applied for the cubic fourth order Schrödinger equation ⋮ Lower regularity solutions of the biharmonic Schrödinger equation in a quarter plane ⋮ The initial-boundary value problem for the Kawahara equation on the half-line ⋮ Well-posedness and lower bounds of the growth of weighted norms for the Schrödinger-Korteweg-de Vries interactions on the half-line ⋮ Initial boundary value problems for some nonlinear dispersive models on the half-line: a review and open problems ⋮ Local well-posedness of the fifth-order KdV-type equations on the half-line ⋮ Existence of generalized solitary wave solutions of the coupled KdV-CKdV system

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