 | Proceedings of the Conference on Nonlinear Coherent Structures in Physics and Biology,
Heriot-Watt University, Edinburgh, July 95 | |
Multiperiodic Processes in Functional Equations
J.A. Zagrodziñski
Institute of Physics,
Polish Acad. of Sciences,
02-668 Warsaw, Poland
Abstract
Applying the formalism of dispersion equations there are discussed the
solutions of functional equations having a close affinity with KdV and sG
equations. There are considered functional and semifunctional (system of
ode's) variants. Standard features typical for soliton type pde's appear in
these cases also and particularly the multisoliton, multiphase
quasi-periodic solutions and also solutions in form of solitons on
periodic background exist.
Besides of a cognitive significance, the existence of soliton type solutions
of functional equations is important also from an applicative point of view,
since it makes a better approximation of numerical schemes for pde's.
Conference paper.
Last modified Mon Apr 8 16:25:01 GB-Eire 1996
(DBD)