Generalized lattice Heisenberg magnet model and its quasideterminant soliton solutions

H. Wajahat A. Riaz   ; M. Hassan

Teoretičeskaâ i matematičeskaâ fizika, Tome 195 (2018) no. 2, pp. 197-208

Résumé

We consider a Darboux transformation of a generalized lattice (or semidiscrete) Heisenberg magnet (GLHM) model. We define a Darboux transformation on solutions of the Lax pair and on solutions of the spin evolution equation of the GLHM model. The solutions are expressed in terms of quasideterminants. We give a general expression for $K$-soliton solutions in terms of quasideterminants. Finally, we obtain one- and two-soliton solutions of the GLHM model using quasideterminant properties.

Détail

Keywords: discrete integrable system
Mots-clés : soliton, Darboux transformation.

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