Chinese Physics Letters · 2009 · 31 citations · 8 references
Natural SciencesMathematicsPhysicsDifferential EquationsMathematical PhysicsTheoretical PhysicsCanonical TransformationsFerromagnetic MaterialsFerromagnetismDarboux TransformationsHeisenberg MagnetismLax Pairs
The Myrzakulov-I equation is a 2 + 1-dimensional generalization of the Heisenberg ferromagnetic equation and has a non-isospectral Lax pair. The Darboux transformation with non-constant spectral parameter is constructed and an extra constraint on the spectral parameter for the existence of the Darboux transformation is derived. Explicit expressions of the solutions of the Myrzakulov-I equation are presented.
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