Year: 2004
Type: article
Abstract: 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 integrable potentials and corresponding solutions of the Sawada-Kotera, Kaup-Kupershmidt, Boussinesq equations and others are found.
Source: Journal of Mathematical Physics
DOI: 10.1063/1.1633353
Author: Yurii V. Brezhnev
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2070944408