Solitons of Some Nonlinear Sigma-Like Models

Abstract

We present a set of differential identities for some class of matrices. These identities are used to derive the $N$-soliton solutions for the Pohlmeyer nonlinear sigma-model, two-dimensional self-dual Yang-Mills equations and some modification of the vector Calapso equation.

References in corpus (4)

• Direct linearising transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations
• Bidifferential Calculus Approach to AKNS Hierarchies and Their Solutions
• Solutions to the ABS lattice equations via generalized Cauchy matrix approach
• Explicit Solutions for a Nonlinear Vector Model on the Triangular Lattice

Cited by in corpus (1)

• Solitons of the constrained Schrödinger equations