Darboux Transformation of Lax Pair for an Integrable Coupling of the Integrable Differential-Difference Equation

Applied and Computational Mathematics ◽

10.11648/j.acm.20140305.18 ◽

2014 ◽

Vol 3 (5) ◽

pp. 240 ◽

Author(s):

Xi-Xiang Xu

Keyword(s):

Difference Equation ◽

Darboux Transformation ◽

Lax Pair ◽

Differential Difference Equation ◽

Integrable Coupling

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Darboux transformation and soliton solutions of a nonlinear coupled differential-difference equation

2012 International Conference on Computer Science and Information Processing (CSIP) ◽

10.1109/csip.2012.6308902 ◽

2012 ◽

Author(s):

Wen Xiaoyong

Keyword(s):

Difference Equation ◽

Darboux Transformation ◽

Soliton Solutions ◽

Differential Difference Equation

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Darboux Transformation of a Differential–Difference Equation and Its Explicit Solutions

Chinese Physics Letters ◽

10.1088/0256-307x/23/6/002 ◽

2006 ◽

Vol 23 (6) ◽

pp. 1361-1364 ◽

Author(s):

Li Wen-Min ◽

Geng Xian-Guo

Keyword(s):

Difference Equation ◽

Darboux Transformation ◽

Explicit Solutions ◽

Differential Difference Equation

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Solving an integrable coupling system of Merola–Ragnisco–Tu lattice equation by Darboux transformation of Lax pair

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2014.11.002 ◽

2015 ◽

Vol 23 (1-3) ◽

pp. 192-201 ◽

Author(s):

Xi-Xiang Xu

Keyword(s):

Darboux Transformation ◽

Lax Pair ◽

Lattice Equation ◽

Coupling System ◽

Integrable Coupling

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Uniformly convergent numerical method for a singularly perturbed differential difference equation with mixed type

Bulletin of the Belgian Mathematical Society - Simon Stevin ◽

10.36045/j.bbms.200128 ◽

2020 ◽

Vol 27 (5) ◽

pp. 755-774

Author(s):

Erkan Cimen

Keyword(s):

Difference Equation ◽

Numerical Method ◽

Singularly Perturbed ◽

Uniformly Convergent ◽

Differential Difference Equation

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Comment on “Generalized differential transform method to differential-difference equation” by L. Zou et al.

Physics Letters A ◽

10.1016/j.physleta.2021.127430 ◽

2021 ◽

pp. 127430

Author(s):

Francisco M. Fernández

Keyword(s):

Difference Equation ◽

Differential Transform Method ◽

Transform Method ◽

Differential Transform ◽

Differential Difference Equation ◽

Generalized Differential

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Internally Positive Representation to Stability of Delayed Timescale-Type Differential-Difference Equation

IEEE Access ◽

10.1109/access.2021.3061681 ◽

2021 ◽

pp. 1-1

Author(s):

Qiang Xiao ◽

Yin Yang ◽

Tingwen Huang

Keyword(s):

Difference Equation ◽

Positive Representation ◽

Differential Difference Equation

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Exact Solutions of a Fractional-Type Differential-Difference Equation Related to Discrete MKdV Equation

Communications in Theoretical Physics ◽

10.1088/0253-6102/61/5/09 ◽

2014 ◽

Vol 61 (5) ◽

pp. 595-599 ◽

Author(s):

İsmail Aslan

Keyword(s):

Difference Equation ◽

Exact Solutions ◽

Mkdv Equation ◽

Differential Difference Equation ◽

Fractional Type

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On the numerical solution of a differential-difference equation arising in analytic number theory

Mathematics of Computation ◽

10.1090/s0025-5718-1962-0148248-2 ◽

1962 ◽

Vol 16 (80) ◽

pp. 473-473 ◽

Author(s):

R. Bellman ◽

B. Kotkin

Keyword(s):

Number Theory ◽

Difference Equation ◽

Numerical Solution ◽

Analytic Number Theory ◽

Analytic Number ◽

Differential Difference Equation

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The Tricomi Problem for the Lavrent'ev–Bitsadze Differential-Difference Equation

Russian Mathematics ◽

10.3103/s1066369x21040058 ◽

2021 ◽

Vol 65 (4) ◽

pp. 61-71

Author(s):

A. N. Zarubin

Keyword(s):

Difference Equation ◽

Tricomi Problem ◽

Differential Difference Equation

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Local dynamics of a second-order differential-difference equation with large delay at the first derivative

Mathematical Notes ◽

10.1134/s0001434617010412 ◽

2017 ◽

Vol 101 (1-2) ◽

pp. 379-381

Author(s):

I. S. Kashchenko

Keyword(s):

Difference Equation ◽

Second Order ◽

Large Delay ◽

Local Dynamics ◽

First Derivative ◽

Differential Difference Equation

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