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

Ken Ichi Maruno; Gino Biondini

doi:10.1088/0305-4470/37/49/005

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

Ken Ichi Maruno^*, Gino Biondini

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

Abstract

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).

Original language	English
Pages (from-to)	11819-11839
Number of pages	21
Journal	Journal of Physics A: Mathematical and General
Volume	37
Issue number	49
DOIs	https://doi.org/10.1088/0305-4470/37/49/005
Publication status	Published - 2004 Dec 10
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

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10.1088/0305-4470/37/49/005

Cite this

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abstract = "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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Resonance and web structure in discrete soliton systems: The two-dimensional Toda lattice and its fully discrete and ultra-discrete analogues

Abstract

ASJC Scopus subject areas

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