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 | |
| Publication status | Published - 2004 Dec 10 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
Cite this
Resonance and web structure in discrete soliton systems : The two-dimensional Toda lattice and its fully discrete and ultra-discrete analogues. / Maruno, Kenichi; Biondini, Gino.
In: Journal of Physics A: Mathematical and General, Vol. 37, No. 49, 10.12.2004, p. 11819-11839.Research output: Contribution to journal › Article
}
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, Kenichi
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
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 -