Two new integrable differential-difference hierarchies related to the relativistic Toda lattice equation and their soliton fusion or fission-Reference-Cited by-同舟云学术

Two new integrable differential-difference hierarchies related to the relativistic Toda lattice equation and their soliton fusion or fission

Published:2022-03-30 Issue:09 Volume:36 Page:
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Wang Hongyan¹,Zhu Guoqing²^ORCID

Affiliation:

1. School of Mathematics, Renmin University of China, No. 59 Zhongguancun Street, Haidian District, Beijing 100872, China

2. School of Mathematics and Statistics, Beijing Institute of Technology, No. 5, South Street, Zhongguancun, Haidian District, Beijing 100081, China

Abstract

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.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984922500087

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