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

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

24 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)

Access to Document

10.1088/0305-4470/37/49/005

Fingerprint Dive into the research topics of 'Resonance and web structure in discrete soliton systems: The two-dimensional Toda lattice and its fully discrete and ultra-discrete analogues'. Together they form a unique fingerprint.

Cite this

@article{96dc2893dadf4dcb80d34d1275c755b7,

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

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).",

author = "Maruno, {Ken Ichi} and Gino Biondini",

year = "2004",

month = dec,

day = "10",

doi = "10.1088/0305-4470/37/49/005",

language = "English",

volume = "37",

pages = "11819--11839",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "IOP Publishing Ltd.",

number = "49",

}

TY - JOUR

T1 - Resonance and web structure in discrete soliton systems

T2 - The two-dimensional Toda lattice and its fully discrete and ultra-discrete analogues

AU - Maruno, Ken Ichi

AU - Biondini, Gino

PY - 2004/12/10

Y1 - 2004/12/10

N2 - 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).

AB - 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).

UR - http://www.scopus.com/inward/record.url?scp=10944239659&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=10944239659&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/37/49/005

DO - 10.1088/0305-4470/37/49/005

M3 - Article

AN - SCOPUS:10944239659

VL - 37

SP - 11819

EP - 11839

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 49

ER -

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

Access to Document

Other files and links

Cite this