A Short Note on a Differential-Difference Gauge Transformation and a New Spectral Problem

doi:10.1088/0256-307X/33/10/100201

Chin. Phys. Lett.

2016, Vol. 33

Issue (10): 100201 DOI: 10.1088/0256-307X/33/10/100201

GENERAL

A Short Note on a Differential-Difference Gauge Transformation and a New Spectral Problem

Kui Chen, Da-Jun Zhang^**

Department of Mathematics, Shanghai University, Shanghai 200444

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Kui Chen, Da-Jun Zhang 2016 Chin. Phys. Lett. 33 100201

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Abstract We show that a class of spectral problems are related to the spectral problem of the Volterra lattice through a gauge transformation. The transformation is given. We hope that our discussion can draw attention to the study of gauge transformation theory of differential-difference integrable systems.

Received: 05 June 2016 Published: 27 October 2016

PACS:	02.30.Ik	(Integrable systems)
	02.30.Ks	(Delay and functional equations)
	05.45.Yv	(Solitons)

Fund: Supported by the National Natural Science Foundation of China under Grant No 11371241.

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https://cpl.iphy.ac.cn/10.1088/0256-307X/33/10/100201 OR https://cpl.iphy.ac.cn/Y2016/V33/I10/100201

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Articles by authors
	Kui Chen
	Da-Jun Zhang

[1]	Suris Y B 2003 The Problem of Integrable Discretization: Hamiltonian Approach (Basel: Birkh?user Verlag)
[2]	Zhang N and Xia T C 2015 Int. J. Nonlinear Sci. Numer. Simul. 16 301
[3]	Tian C 1995 Symmetry in Soliton Theory and its Applications (Berlin: Springer-Verlag)
[4]	Chen D Y 2006 Introduction to Soliton Theory (Beijing: Science Press)
[5]	Chen D Y and Zhang D J 2003 Commun. Theor. Phys. 40 127
[6]	Wen X Y 2011 Rep. Math. Phys. 67 259
[7]	Chen X H and Zhang H Q 2013 Chin. Phys. B 22 030203

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