On the two-dimensional Leznov lattice equation with self-consistent sources

Hong Yan Wang; Xing Biao Hu; Hon Wah Tam

doi:10.1088/1751-8113/40/42/S13

On the two-dimensional Leznov lattice equation with self-consistent sources

Hong Yan Wang^*, Xing Biao Hu, Hon Wah Tam

^*Corresponding author for this work

Department of Computer Science

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

3 Citations (Scopus)

Abstract

A two-dimensional Leznov lattice equation with self-consistent sources (LeznovESCS) is presented through the 'source generation' procedure, starting from the Casoratian determinant solution of the two-dimensional Leznov lattice equation. As a result, the Casoratian determinant solution of the LeznovESCS is obtained. Besides, we also give the Grammian determinant solution of the coupled system. In addition, the bilinear Bäcklund transformation (BT) for the LeznovESCS is given.

Original language	English
Pages (from-to)	12691-12700
Number of pages	10
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	40
Issue number	42
DOIs	https://doi.org/10.1088/1751-8113/40/42/S13
Publication status	Published - 19 Oct 2007

Scopus Subject Areas

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
General Physics and Astronomy

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10.1088/1751-8113/40/42/S13

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title = "On the two-dimensional Leznov lattice equation with self-consistent sources",

abstract = "A two-dimensional Leznov lattice equation with self-consistent sources (LeznovESCS) is presented through the 'source generation' procedure, starting from the Casoratian determinant solution of the two-dimensional Leznov lattice equation. As a result, the Casoratian determinant solution of the LeznovESCS is obtained. Besides, we also give the Grammian determinant solution of the coupled system. In addition, the bilinear B{\"a}cklund transformation (BT) for the LeznovESCS is given.",

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T1 - On the two-dimensional Leznov lattice equation with self-consistent sources

AU - Wang, Hong Yan

AU - Hu, Xing Biao

AU - Tam, Hon Wah

PY - 2007/10/19

Y1 - 2007/10/19

N2 - A two-dimensional Leznov lattice equation with self-consistent sources (LeznovESCS) is presented through the 'source generation' procedure, starting from the Casoratian determinant solution of the two-dimensional Leznov lattice equation. As a result, the Casoratian determinant solution of the LeznovESCS is obtained. Besides, we also give the Grammian determinant solution of the coupled system. In addition, the bilinear Bäcklund transformation (BT) for the LeznovESCS is given.

AB - A two-dimensional Leznov lattice equation with self-consistent sources (LeznovESCS) is presented through the 'source generation' procedure, starting from the Casoratian determinant solution of the two-dimensional Leznov lattice equation. As a result, the Casoratian determinant solution of the LeznovESCS is obtained. Besides, we also give the Grammian determinant solution of the coupled system. In addition, the bilinear Bäcklund transformation (BT) for the LeznovESCS is given.

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U2 - 10.1088/1751-8113/40/42/S13

DO - 10.1088/1751-8113/40/42/S13

M3 - Journal article

AN - SCOPUS:35748933524

SN - 1751-8113

VL - 40

SP - 12691

EP - 12700

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 42

ER -

On the two-dimensional Leznov lattice equation with self-consistent sources

Abstract

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