Integrable hierarchies of Heisenberg ferromagnet equation

5th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Nugmanova, G.^1 ; Azimkhanova, A.^1

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

关键词: Compatibility conditions;    Gauge transformation;    Heisenberg ferromagnets;    Integrable hierarchy;    Lax representation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/738/1/012132/pdf
DOI  :  10.1088/1742-6596/738/1/012132

来源: IOP

【 摘 要 】

In this paper we consider the coupled Kadomtsev-Petviashvili system. From compatibility conditions we obtain the form of matrix operators. After using a gauge transformation, obtained a new type of Lax representation for the hierarchy of Heisenberg ferromagnet equation, which is equivalent to the gauge coupled Kadomtsev-Petviashvili system.