Lie-algebraic symmetries of generalized Davey-Stewartson equations

3Quantum: Algebra Geometry Information

物理学;数学

Zuevsky, A.^1

Max-Planck Institut für Mathematik, Vivatsgasse 7, Bonn

53111, Germany^1

关键词: Algebraic structures;    Davey stewartson;    Davey-Stewartson equations;    Lie Algebra;    Poisson brackets;    System of equations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/532/1/012030/pdf
DOI  :  10.1088/1742-6596/532/1/012030

来源: IOP

【 摘 要 】

We identify the full Lie-algebraic structure of the generalized Davey-Stewartson (GDS) system of equations with symmetries of a specific of continual Lie algebras. In particular, we show that they are related to two copies of the Poisson bracket continual Lie algebra.