TWO (2+1)-DIMENSIONAL INTEGRABLE COUPLINGS OF THE KN HIERARCHY AND CORRESPONDING HAMILTONIAN STRUCTURES

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作者单位: School of Information Engineering, Taishan Medical University, Taian 271016, China.

摘要: A (2+1) zero curvature equation is generated from one of the reduced equations of the self-dual Yang–Mills equations. As its applications, two (2+1)-dimensional integrable couplings of the famous KN hierarchy are obtained with the help of a subalgebra of the Lie subalgebra R9, which can be reduced to the Burgers equation. Furthermore, their Hamiltonian structures are worked out by taking use of the quadratic-form identity and the variational identity, respectively.

学科: 【SCI学科】PHYSICS, MATHEMATICAL;PHYSICS, APPLIED;PHYSICS, CONDENSED MATTER 【ESI学科】PHYSICS

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