Elliptic Solitons and Gröbner Bases
نویسنده
چکیده
We consider the solution of spectral problems with elliptic coefficients in the framework of the Hermite ansatz. We show that the search for exactly solvable potentials and their spectral characteristics is reduced to a system of polynomial equations solvable by the Gröbner bases method and others. New potentials and corresponding solutions of the Sawada–Kotera, Kaup– Kupershmidt, Boussinesq equations and others are found. 1 Permanent address: Theoretical Physics Department, Kaliningrad State University, A. Nevsky st. 14, 236041, Russia. E-mail : [email protected] Elliptic Solitons and Gröbner Bases 1
منابع مشابه
Elliptic Solitons and the Gröbner Bases
We consider the solution of spectral problems with elliptic potentials in the framework of the Hermite ansatz. We show that the search for potentials and their spectral characteristics is reduced to a system of polynomial equations solvable by the Gröbner bases method and others. New potentials and corresponding solutions of the Sawada–Kotera, Kaup–Kupershmidt, Boussinesq equations are found.
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