TY - JOUR
T1 - Two new integrable differential-difference hierarchies related to the relativistic Toda lattice equation and their soliton fusion or fission
AU - Wang, Hongyan
AU - Zhu, Guoqing
N1 - Publisher Copyright:
© 2022 World Scientific Publishing Company.
PY - 2022/3/30
Y1 - 2022/3/30
N2 - Starting from a discrete spectral problem, two new integrable differential-difference hierarchies are presented and their Lax pairs are given, respectively. The first hierarchy is related to the relativistic Toda lattice equation. Darboux transformations for the first systems in the two hierarchies are derived, respectively, accordingly their explicit solutions are obtained. By selecting appropriate parameters, we can see the phenomena of soliton fission or soliton fusion.
AB - Starting from a discrete spectral problem, two new integrable differential-difference hierarchies are presented and their Lax pairs are given, respectively. The first hierarchy is related to the relativistic Toda lattice equation. Darboux transformations for the first systems in the two hierarchies are derived, respectively, accordingly their explicit solutions are obtained. By selecting appropriate parameters, we can see the phenomena of soliton fission or soliton fusion.
KW - Darboux transformation
KW - Discrete spectral problem
KW - differential-difference hierarchy
KW - soliton fission and fusion
UR - http://www.scopus.com/inward/record.url?scp=85128399042&partnerID=8YFLogxK
U2 - 10.1142/S0217984922500087
DO - 10.1142/S0217984922500087
M3 - Article
AN - SCOPUS:85128399042
SN - 0217-9849
VL - 36
JO - Modern Physics Letters B
JF - Modern Physics Letters B
IS - 9
M1 - 2250008
ER -