Darboux Transformations and solutions for an equation in 2+1 dimensions

1998/11/16 by Pilar Garcia Estevez, Estevez, Pilar Garcia
Physics and Astronomy · #35A20 (Primary) 35P30 (Secondary) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #msc:35A20 #msc:35P30 #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.solv-int/9811011

LaTeX 16 pages with 6 figures. Journal of Mathematical Physics (to appear)

arxiv created 1998/11/16 · arxiv updated 2009/11/30

Abstract

Painleve analysis and the singular manifold method are the tools used in this paper to perform a complete study of an equation in 2+1 dimensions. This procedure has allowed us to obtain the Lax pair, Darboux transformation and tau functions in such a way that a plethora of different solutions with solitonic behavior can be constructed iteratively

Related

• Lax pair, Darboux Transformations and solitonic solutions for a (2+1) dimensional NLSE
• Symbolic-computation study of integrable properties for the (2+1)-dimensional Gardner equation with the two-singular-manifold method
• Non-trivial Darboux solutions of Classical Painlevé second equation
• Painlevé analysis for nonlinear partial differential equations
• Solutions of Darboux Equations, its Degeneration and Painlevé VI Equations