Email this article Generalized Lattice Heisenberg Magnet Model and Its Quasideterminant Soliton Solutions
- Authors: Wajahat H.1, Riaz A.1, Hassan M.1
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Affiliations:
- Department of Physics
- Issue: Vol 195, No 2 (2018)
- Pages: 665-675
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171756
- DOI: https://doi.org/10.1134/S0040577918050033
- ID: 171756
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Abstract
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.
About the authors
H. Wajahat
Department of Physics
Author for correspondence.
Email: ahmed.phyy@gmail.com
Pakistan, Lahore
A. Riaz
Department of Physics
Email: ahmed.phyy@gmail.com
Pakistan, Lahore
M. Hassan
Department of Physics
Email: ahmed.phyy@gmail.com
Pakistan, Lahore
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