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arXiv · 1001.0376

On Separation of Variables for Integrable Equations of Soliton Type

Julia Bernatska·Petro Holod
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Abstract

We propose a general scheme for separation of variables in the integrable Hamiltonian systems on orbits of the loop algebra $\mathfrak{sl}(2,\Complex)\times \mathcal{P}(λ,λ^{-1})$. In particular, we illustrate the scheme by application to modified Korteweg--de Vries (MKdV), sin(sinh)-Gordon, nonlinear Schrödinger, and Heisenberg magnetic equations.

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Julia Bernatska, Petro Holod. 2010-01-03. On Separation of Variables for Integrable Equations of Soliton Type. https://doi.org/10.2991/jnmp.2007.14.3.5

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