Resonance and web structure in discrete soliton systems: the two-dimensional Toda lattice and its fully discrete and ultra-discrete versions

Details Resonance and web structure in discrete soliton systems: the two-dimensional Toda lattice and its fully discrete and ultra-discrete versions Resonance and web structure in discrete soliton systems: the two-dimensional Toda lattice and its fully discrete and ultra-discrete versions

2004-06-25

arxiv.org/abs/nlin/0406059v7

Published in Journal of Physics A: Mathematical and General, 37(49),2004,11819-11840

Nonlinear Sciences

Exactly Solvable and Integrable Systems

final version: several errors were corrected

Scientific paper

10.1088/0305-4470/37/49/005

We present a class of solutions of the two-dimensional Toda lattice equation,
its fully discrete analogue and its ultra-discrete limit. These solutions
demonstrate the existence of soliton resonance and web-like structure in
discrete integrable systems such as differential-difference equations,
difference equations and cellular automata (ultra-discrete equations).

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