Articles with "lattice equations" as a keyword



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Matrix Spectral Problems and Integrability Aspects of the Błaszak-Marciniak Lattice Equations

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Published in 2020 at "Reports on Mathematical Physics"

DOI: 10.1016/s0034-4877(20)30087-2

Abstract: A method to derive the matrix spectral problems of the Blaszak–Marciniak lattice equations is proposed, and the matrix Lax representations of all the three-field and four-field Blaszak-Marciniak lattice equations are given explicitly. The integrability aspects… read more here.

Keywords: integrability aspects; spectral problems; marciniak lattice; lattice equations ... See more keywords
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Conservation laws and Darboux transformations for a 3-coupled integrable lattice equations

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Published in 2020 at "Modern Physics Letters B"

DOI: 10.1142/s0217984920502188

Abstract: In this paper, we firstly establish infinitely many conservation laws of the 3-coupled integrable lattice equations by using the Riccati method. Comparing with the results obtained by Sahadevan and... read more here.

Keywords: laws darboux; lattice equations; coupled integrable; conservation laws ... See more keywords