Multi-soliton solutions of the two-dimensional matrix Davey-Stewartson equation

Abstract

We explicitly obtain the $m$-soliton solutions of the (1+2)-dimensional matrix Davey-Stewartson equation from the known general solution of the matrix Toda chain with fixed ends. We write these solutions in terms of $m+m$ independent solutions of a pair of linear Shrödinger equations with Hermitian potentials.

14 pages, language improved

References in corpus (2)

• Toward the construction of N=2 supersymmetric integrable hierarchies
• Two-dimensional Superintegrable Mappings and Integrable Hierarchies in the $(2|2)$ Superspace

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