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).
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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 -