Abstract
In this work we investigate the integrable cases of the elliptic–hyperbolic–hyperbolic generalized Davey–Stewartson system introduced in Babaoğlu and Erbay (2004) [6] following the method of Zakharov and Shulman (1980) [3]. This method provides us with a set of algebraic conditions on the parameters of the system, which are just necessary conditions for the system to be integrable by means of the inverse scattering transform. Taking into account the constraints arising from the physical derivation of the generalized Davey–Stewartson system as described in Babaoğlu and Erbay (2004) [6], we show that this system is integrable only when it can be transformed to an integrable case of the Davey–Stewartson system.
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.
