On the dynamics of the radially symmetric Heisenberg ferromagnetic spin system

By considering the geometrical equivalence of the radially symmetric Heisenberg ferromagnetic spin system in n‐arbitrary spatial dimensions and the generalized nonlinear Schrodinger equation (GNLSE) with radial symmetry, it is shown that they possess the Painleve property only for the (n=2) circularly (planar radially) symmetric case. For the circularly symmetric case, suitable (2×2) matrix eigenvalue equations are constructed, involving nonisospectral flows and their gauge equivalence is shown. The connection with inhomogeneous systems and, in particular, the linearly x‐dependent system is pointed out. Appropriate Backlund transformations (BT) and explicit soliton solutions for both the spin systems and the GNLSEs are also derived.

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