On Separation of Variables for Integrable Equations of Soliton Type
We propose a general scheme for separation of variables in the integrable Hamiltonian systems on orbits of the loop algebra $ mathfrak{sl}(2, Complex) times mathcal{P}( lambda, lambda^{-1})$. In part
We propose a general scheme for separation of variables in the integrable Hamiltonian systems on orbits of the loop algebra $\mathfrak{sl}(2,\Complex)\times \mathcal{P}(\lambda,\lambda^{-1})$. In particular, we illustrate the scheme by application to modified Korteweg–de Vries (MKdV), sin(sinh)-Gordon, nonlinear Schr"odinger, and Heisenberg magnetic equations.
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