Abstract
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.
Highlights
With the condition (λ − 1)(m1 − m2) = n2
We show that the system (1.2) possesses a conitnual Lie algebra symmetry
The systems of generators of corresponding Lie algebras is a special case of a continual Lie algebra [18]
Summary
They called (1.1) the generalized Davey-Stewartson (GDS) equations. In the sequel, following [2], we call (1.2) the GDS (generalized Davey-Stewartson) equations. In [2] the Lie symmetry algebra of the generalized Davey-Stewartson (GDS) equations
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
