Algebro-geometric Poisson Brackets for Real Finite-zone Solutions of the Sine-gordon Equation and the Nonlinear Schrödinger Equation
نویسندگان
چکیده
Algebro-geometric Poisson brackets for real, finite-zone solutions of the Korteweg–de Vries (KdV) equation were studied in [1]. The transfer of this theory to the Toda lattice and the sinh-Gordon equation is more or less obvious. The complex part of the finite-zone theory for the nonlinear Schrödinger equation (NS) and the sine-Gordon equation (SG) is analogous to KdV, but conditions that solutions be real require serious investigation.
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