Year: 2001
Type: article
Abstract: The addition relation for the Riemann theta functions and for its limits, which leads to the appearance of exponential functions in soliton type equations is discussed. The form of addition property presented resolves itself to the factorization of the N -tuple product of the shifted functions and it seems to be useful for analysis of soliton type continuous and discrete processes in the N + 1 space-time. A close relation with the natural generalization of bi- and tri-linear operators into multiple linear operators concludes the paper.
Authors: J A Zagrodzinski, T Nikiciuk
Institutions: Institute of Physics, Polish Academy of Sciences
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: W2083571464