S. A. Sergeev, A. A. Tolchennikov, “Creation Operators in the Problem of Localized Solutions of the Linearized Shallow Water Equations with Regular and Singular Characteristics”, Mat. Zametki, 2016, Volume 100, Issue 6,Pages <nobr>911

This article is cited in 4 papers

Creation Operators in the Problem of Localized Solutions of the Linearized Shallow Water Equations with Regular and Singular Characteristics

S. A. Sergeev^ab, A. A. Tolchennikov^ab

^a Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
^b Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow

Abstract: We study the wave part of a localized solution of the linear system of shallow water equations. Given a relationship between initial conditions, the relationship between the corresponding solutions is found.

Keywords: linear hyperbolic system, linearized shallow water equations, localized asymptotic solution, creation operator.

UDC: 517.955.8

Received: 01.06.2016

DOI: 10.4213/mzm11373