Hirota's method for a spin model with self-consistent potential

24th International Conference on Integrable Systems and Quantum symmetries

Nugmanova, G.^1 ; Sagidullayeva, Zh.^1 ; Myrzakulov, R.^1

L.N. Gumilyov Eurasian National University, Satpayev Str. 2, Astana, Kazakhstan^1

关键词: Compatibility conditions;    Exact solution;    Hirota method;    Landau Lifshitz equation;    Spin models;    Spin vectors;    Vector potential;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/804/1/012035/pdf
DOI  :  10.1088/1742-6596/804/1/012035

来源: IOP

【 摘 要 】

In this work an integrable generalization of the Landau-Lifshitz equation with self-consistent vector potential is studied. It was established that self-consistence of spin vector and potential happen by the relation between solutions the potential and linear system, the compatibility condition of which corresponds to the equation considered by us. By generalizing Hirota method, it's exact solutions, defining self-consistent motion of the potential and soliton, are constructed.