Jacobi Structures of the N-Soliton Solutions of the Nonlinear Schroedinger, the Heisenberg Spin and the Cylindrical Heisenberg Spin Equations

Abstract

We have shown that the bilinear relations for the N-Soliton solutions can be reduced to the Jacobi relations of the matrix algebra in the case of the nonlinear Schroedinger, the Heisenberg spin and the cylindrical Heisenberg spin equations.