Year: 2025
Type: article
Abstract: We suggest an algorithm for deriving nonlinear integrable equations of the form $$u^{j+1}_{n,x}=F(u^{j}_{n,x},u^{j+1}_{n},u^{j}_{n+1},u^{j}_{n},u^{j+1}_{n-1})$$ with three independent variables; the algorithm uses the known list of Toda type integrable equations. The algorithm is based on the Darboux integrable finite field reductions, construction of a complete set of characteristic integrals and dicretization via integrals.
Source: Ufimskii Matematicheskii Zhurnal
Institution: Institute of Mathematics with Computer Center
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funder: Russian Science Foundation
Award: G3176894258
OpenAlex ID: W4411610674