Quadratic-Argument Approach to the Davey-Stewartson Equations

2008/12/10 by Xiaoping Xu, Xu, Xiaoping
Mathematics · Physics and Astronomy · #35C05 #35Q55 #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP #msc:35C05 #msc:35Q55 #nlin.SI #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.0812.1833

10pages

arxiv created 2008/12/10 · arxiv updated 2009/12/01

Abstract

The Davey-Stewartson equations are used to describe the long time evolution of a three-dimensional packets of surface waves. Assuming that the argument functions are quadratic in spacial variables, we find in this paper various exact solutions modulo the most known symmetry transformations for the Davey-Stewartson equations.

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