Open AccessOn the two-component generalization of the (2+1)-dimensional Davey-Stewartson I equation
Author(s) -
Nurzhan Serikbayev,
Gulgassyl Nugmanova,
Ratbay Myrzakulov
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1391/1/012160
Subject(s) - generalization , integrable system , component (thermodynamics) , mathematics , representation (politics) , nonlinear schrödinger equation , nonlinear system , lax pair , kadomtsev–petviashvili equation , mathematical analysis , schrödinger equation , pure mathematics , burgers' equation , partial differential equation , physics , quantum mechanics , politics , political science , law
The geometric-gauge equivalent of the famous Ishimori spin equation is the (2+1)-dimensional Davey-Stewartson equation, which in turn is one of the (2+1)-dimensional generalizations of the nonlinear Schrodinger equation. Multicomponent generalization of nonlinear integrable equations attract considerable interest from both physical and mathematical points of view. In this paper, the two-component integrable generalization of the (2+1)-dimensional Davey-Stewartson I equation is obtained based on its one-component representation, and the corresponding Lax representation is also obtained.