A new hierarchy of integrable differential-difference equations and Darboux transformation

Yongtang Wu; Xianguo Geng

doi:10.1088/0305-4470/31/38/004

A new hierarchy of integrable differential-difference equations and Darboux transformation

Yongtang Wu^*
, Xianguo Geng

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › peer-review

89 Citations (Scopus)

Abstract

A new discrete isospectral problem and the corresponding hierarchy of nonlinear differential-difference equations are proposed. It is shown that the hierarchy of differential-difference equations possesses the Hamiltonian structures. A Darboux transformation for the discrete spectral problem is found. As an application, two-soliton solutions for the first system of differential-difference equations in the hierarchy are given.

Original language	English
Pages (from-to)	L677-L684
Number of pages	8
Journal	Journal of Physics A: Mathematical and General
Volume	31
Issue number	38
DOIs	https://doi.org/10.1088/0305-4470/31/38/004
Publication status	Published - 25 Sept 1998
Externally published	Yes

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10.1088/0305-4470/31/38/004

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title = "A new hierarchy of integrable differential-difference equations and Darboux transformation",

abstract = "A new discrete isospectral problem and the corresponding hierarchy of nonlinear differential-difference equations are proposed. It is shown that the hierarchy of differential-difference equations possesses the Hamiltonian structures. A Darboux transformation for the discrete spectral problem is found. As an application, two-soliton solutions for the first system of differential-difference equations in the hierarchy are given.",

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AU - Geng, Xianguo

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Y1 - 1998/9/25

N2 - A new discrete isospectral problem and the corresponding hierarchy of nonlinear differential-difference equations are proposed. It is shown that the hierarchy of differential-difference equations possesses the Hamiltonian structures. A Darboux transformation for the discrete spectral problem is found. As an application, two-soliton solutions for the first system of differential-difference equations in the hierarchy are given.

AB - A new discrete isospectral problem and the corresponding hierarchy of nonlinear differential-difference equations are proposed. It is shown that the hierarchy of differential-difference equations possesses the Hamiltonian structures. A Darboux transformation for the discrete spectral problem is found. As an application, two-soliton solutions for the first system of differential-difference equations in the hierarchy are given.

UR - https://www.scopus.com/pages/publications/0032566479

U2 - 10.1088/0305-4470/31/38/004

DO - 10.1088/0305-4470/31/38/004

M3 - Journal article

AN - SCOPUS:0032566479

SN - 0305-4470

VL - 31

SP - L677-L684

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 38

ER -

A new hierarchy of integrable differential-difference equations and Darboux transformation

Abstract

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