Integrable hierarchies of Heisenberg ferromagnet equation

[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.

[发布机构] L.N. Gumilyov Eurasian National University, Astana, Kazakhstan^1

[效力级别] 数学

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