Application of Hirota's bilinear formalism to a two-dimensional lattice by Leznov

Xing-Biao Hu; Hon-Wah Tam

doi:10.1016/S0375-9601(00)00650-2

Application of Hirota's bilinear formalism to a two-dimensional lattice by Leznov

Xing-Biao Hu, Hon-Wah Tam^*

^*Corresponding author for this work

Department of Computer Science

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

55 Citations (Scopus)

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Abstract

We consider the Leznov lattice in this paper. By a dependent variable transformation, the Leznov lattice is transformed into a quadri-linear form. This form is further transformed into a bilinear form by the introduction of an auxiliary variable. We present a Backlund transformation and a nonlinear superposition formula for the Leznov lattice. As an application of the results, soliton solutions and lump solutions are derived. Besides, starting from the bilinear BT, a Lax pair for the Leznov lattice is obtained. (C) 2000 Elsevier Science B.V.

Original language	English
Pages (from-to)	65-72
Number of pages	8
Journal	Physics Letters A
Volume	276
Issue number	1-4
DOIs	https://doi.org/10.1016/S0375-9601(00)00650-2
Publication status	Published - 30 Oct 2000

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title = "Application of Hirota's bilinear formalism to a two-dimensional lattice by Leznov",

abstract = "We consider the Leznov lattice in this paper. By a dependent variable transformation, the Leznov lattice is transformed into a quadri-linear form. This form is further transformed into a bilinear form by the introduction of an auxiliary variable. We present a Backlund transformation and a nonlinear superposition formula for the Leznov lattice. As an application of the results, soliton solutions and lump solutions are derived. Besides, starting from the bilinear BT, a Lax pair for the Leznov lattice is obtained. (C) 2000 Elsevier Science B.V.",

author = "Xing-Biao Hu and Hon-Wah Tam",

note = "Funding Information: This work was partially supported by Hong Kong Baptist University grant FRG/99-00/II-66, the National Natural Science Foundation of China (Project no. 19871082), and the Chinese Academy of Sciences. Part of the work was done during one of the authors (XBH)'s stay in the Abdus Salam International Centre for Theoretical Physics and he would like to thank the AS ICTP for the hospitality. ",

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T1 - Application of Hirota's bilinear formalism to a two-dimensional lattice by Leznov

AU - Hu, Xing-Biao

AU - Tam, Hon-Wah

N1 - Funding Information: This work was partially supported by Hong Kong Baptist University grant FRG/99-00/II-66, the National Natural Science Foundation of China (Project no. 19871082), and the Chinese Academy of Sciences. Part of the work was done during one of the authors (XBH)'s stay in the Abdus Salam International Centre for Theoretical Physics and he would like to thank the AS ICTP for the hospitality.

PY - 2000/10/30

Y1 - 2000/10/30

N2 - We consider the Leznov lattice in this paper. By a dependent variable transformation, the Leznov lattice is transformed into a quadri-linear form. This form is further transformed into a bilinear form by the introduction of an auxiliary variable. We present a Backlund transformation and a nonlinear superposition formula for the Leznov lattice. As an application of the results, soliton solutions and lump solutions are derived. Besides, starting from the bilinear BT, a Lax pair for the Leznov lattice is obtained. (C) 2000 Elsevier Science B.V.

AB - We consider the Leznov lattice in this paper. By a dependent variable transformation, the Leznov lattice is transformed into a quadri-linear form. This form is further transformed into a bilinear form by the introduction of an auxiliary variable. We present a Backlund transformation and a nonlinear superposition formula for the Leznov lattice. As an application of the results, soliton solutions and lump solutions are derived. Besides, starting from the bilinear BT, a Lax pair for the Leznov lattice is obtained. (C) 2000 Elsevier Science B.V.

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U2 - 10.1016/S0375-9601(00)00650-2

DO - 10.1016/S0375-9601(00)00650-2

M3 - Journal article

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SN - 0375-9601

VL - 276

SP - 65

EP - 72

JO - Physics Letters A

JF - Physics Letters A

IS - 1-4

ER -

Application of Hirota's bilinear formalism to a two-dimensional lattice by Leznov

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