Dromion solutions of noncommutative Davey-Stewartson equations

Abstract

We consider a noncommutative version of the Davey-Stewartson equations and derive two families of quasideterminant solution via Darboux and binary Darboux transformations. These solutions can be verified by direct substitution. We then calculate the dromion solutions of the equations and obtain computer plots in a noncommutative setting.

23 pages, 6 figures

References in corpus (3)

• On a direct approach to quasideterminant solutions of a noncommutative modified KP equation
• Integrable Noncommutative Sine-Gordon Model
• On Reductions of Noncommutative Anti-Self-Dual Yang-Mills Equations

Cited by in corpus (7)

• Multivariate orthogonal polynomial and integrable systems
• Noncommutative Solitons and Quasideterminants
• Soliton Solutions of Noncommutative Anti-Self-Dual Yang-Mills Equations
• Soliton Scattering in Noncommutative Spaces
• Bäcklund Transformations and the Atiyah-Ward ansatz for Noncommutative Anti-Self-Dual Yang-Mills Equations
• A new bidirectional generalization of (2+1)-dimensional matrix k-constrained KP hierarchy
• Darboux Transformation for the Hirota equation