Soliton Fay identities. I. Dark soliton case

Abstract

We derive a set of bilinear identities for the determinants of the matrices that have been used to construct the dark soliton solutions for various models. To give examples of the application of the obtained identities we present soliton solutions for the equations describing multidimensional quadrilateral lattices, Darboux equations and multidimensional multicomponent systems of the nonlinear Schrodinger type.

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Cited by in corpus (5)

• Soliton Fay identities. II. Bright soliton case
• Solitons of Some Nonlinear Sigma-Like Models
• Dark solitons of the Gross-Neveu model
• Explicit Solutions for a Nonlinear Vector Model on the Triangular Lattice
• Solitons of a simple nonlinear model on the cubic lattice