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 › Article › peer-review

54 Citations (Scopus)

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

Scopus Subject Areas

Physics and Astronomy(all)

Access to Document

10.1016/S0375-9601(00)00650-2

Cite this

@article{1034aa7a034c4f6bb63f2c8abc35d5be,

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 = "Hu, {Xing Biao} and TAM, {Hon Wah}",

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. ",

year = "2000",

month = oct,

day = "30",

doi = "10.1016/S0375-9601(00)00650-2",

language = "English",

volume = "276",

pages = "65--72",

journal = "Physics Letters A",

issn = "0375-9601",

publisher = "Elsevier",

number = "1-4",

}

TY - JOUR

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.

UR - http://www.scopus.com/inward/record.url?scp=0034735520&partnerID=8YFLogxK

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

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

M3 - Article

AN - SCOPUS:0034735520

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

Abstract

Scopus Subject Areas

Access to Document

Other files and links

Fingerprint

Cite this