On the integrable discrete versions of the Leznov lattice: Determinant solutions and pfaffianization

Guo Fu Yu; Hon Wah TAM; Xing Biao Hu

doi:10.1016/j.jmaa.2007.01.090

On the integrable discrete versions of the Leznov lattice: Determinant solutions and pfaffianization

Guo Fu Yu^*, Hon Wah TAM, Xing Biao Hu

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper, we present the Casorati form of the N-soliton solution for an integrable fully-discrete version and two integrable semi-discrete versions of the Leznov lattice, which arise from the integrable discretization of the two-dimensional Leznov lattice. By using the pfaffianization procedure of Hirota and Ohta, a new integrable coupled system is generated from the semi-discrete version of the Leznov lattice in the y-direction.

Original language	English
Pages (from-to)	377-388
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	335
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2007.01.090
Publication status	Published - 1 Nov 2007

Scopus Subject Areas

Analysis
Applied Mathematics

User-Defined Keywords

Casorati solution
Discrete Leznov lattice
Pfaffianization

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10.1016/j.jmaa.2007.01.090

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title = "On the integrable discrete versions of the Leznov lattice: Determinant solutions and pfaffianization",

abstract = "In this paper, we present the Casorati form of the N-soliton solution for an integrable fully-discrete version and two integrable semi-discrete versions of the Leznov lattice, which arise from the integrable discretization of the two-dimensional Leznov lattice. By using the pfaffianization procedure of Hirota and Ohta, a new integrable coupled system is generated from the semi-discrete version of the Leznov lattice in the y-direction.",

keywords = "Casorati solution, Discrete Leznov lattice, Pfaffianization",

author = "Yu, {Guo Fu} and TAM, {Hon Wah} and Hu, {Xing Biao}",

note = "Funding Information: ✩ This work was supported by the National Natural Science Foundation of China (Grant No. 10471139), CAS President Grant, the knowledge innovation program of the Institute of Computational Math., AMSS and Hong Kong RGC Grant No. HKBU2016/05P. * Corresponding author. E-mail address: gfyu@lsec.cc.ac.cn (G.-F. Yu).",

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doi = "10.1016/j.jmaa.2007.01.090",

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T1 - On the integrable discrete versions of the Leznov lattice

T2 - Determinant solutions and pfaffianization

AU - Yu, Guo Fu

AU - TAM, Hon Wah

AU - Hu, Xing Biao

N1 - Funding Information: ✩ This work was supported by the National Natural Science Foundation of China (Grant No. 10471139), CAS President Grant, the knowledge innovation program of the Institute of Computational Math., AMSS and Hong Kong RGC Grant No. HKBU2016/05P. * Corresponding author. E-mail address: gfyu@lsec.cc.ac.cn (G.-F. Yu).

PY - 2007/11/1

Y1 - 2007/11/1

N2 - In this paper, we present the Casorati form of the N-soliton solution for an integrable fully-discrete version and two integrable semi-discrete versions of the Leznov lattice, which arise from the integrable discretization of the two-dimensional Leznov lattice. By using the pfaffianization procedure of Hirota and Ohta, a new integrable coupled system is generated from the semi-discrete version of the Leznov lattice in the y-direction.

AB - In this paper, we present the Casorati form of the N-soliton solution for an integrable fully-discrete version and two integrable semi-discrete versions of the Leznov lattice, which arise from the integrable discretization of the two-dimensional Leznov lattice. By using the pfaffianization procedure of Hirota and Ohta, a new integrable coupled system is generated from the semi-discrete version of the Leznov lattice in the y-direction.

KW - Casorati solution

KW - Discrete Leznov lattice

KW - Pfaffianization

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DO - 10.1016/j.jmaa.2007.01.090

M3 - Article

AN - SCOPUS:34347229046

SN - 0022-247X

VL - 335

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EP - 388

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

On the integrable discrete versions of the Leznov lattice: Determinant solutions and pfaffianization

Abstract

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