Multiple addition theorem for discrete and continuous nonlinear problems

Details Multiple addition theorem for discrete and continuous nonlinear problems Multiple addition theorem for discrete and continuous nonlinear problems

2001-03-27

arxiv.org/abs/nlin/0103051v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages

Scientific paper

10.1088/0305-4470/34/48/318

The addition relation for the Riemann theta functions and for its limits, which lead to the appearance of exponential functions in soliton type equations is discussed. The presented form of addition property resolves itself to the factorization of 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.

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