A System of Nonlinear Differential-Difference Equations with Variable Coefficients and Its Reductions

DOI

10.2991/iiicec-15.2015.118How to use a DOI?

Keywords

Nonlinear differential-difference equation; Discrete spectral problem; Reduction

Abstract

Constructing integrable systems is a significant direction in soliton theory. In this paper, a new system of nonlinear differential-difference equations with variable coefficients is derived by introducing some derivable functions to the corresponding discrete spectral problems. In order to give some special cases of the derived differential-difference equations, three reductions are obtained which include Hirota’s lattice equations as special cases. The processes of constructing such a system of variable-coefficient differential-difference equations and obtaining its reductions provide with a necessary help for the beginners.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Sheng Zhang
AU  - Xin Guo
PY  - 2015/03
DA  - 2015/03
TI  - A System of Nonlinear Differential-Difference Equations with Variable Coefficients and Its Reductions
BT  - Proceedings of the 2015 International Industrial Informatics and Computer Engineering Conference
PB  - Atlantis Press
SP  - 518
EP  - 521
SN  - 2352-538X
UR  - https://doi.org/10.2991/iiicec-15.2015.118
DO  - 10.2991/iiicec-15.2015.118
ID  - Zhang2015/03
ER  -