Vanishing dispersion limit for Schrödinger-improved Boussinesq system in two space dimensions

Article type: Research Article

Authors: Ozawa, Tohru^{; *} | Tomioka, Kenta

Affiliations: Department of Applied Physics, Waseda University, Tokyo 169-8555, Japan

Correspondence: [*] Corresponding author. E-mail: [email protected].

Abstract: We study the vanishing dispersion limit of strong solutions to the Cauchy problem for the Schrödinger-improved Boussinesq system in a two dimensional domain. We show an explicit representation of limiting profile in terms of the initial data. Moreover, the first approximation is also represented as a pair of solutions of a linear system with coefficients and forcing term given by the limiting profile.

Keywords: Schrödinger-improved Boussinesq system, vanishing dispersion limit

DOI: 10.3233/ASY-221758

Journal: Asymptotic Analysis, vol. 130, no. 3-4, pp. 427-437, 2022