Applying the Pfaffianization procedure to the two-dimensional Leznov lattice

J. X. Zhao; X. B. Hu; H. W. Tam

doi:10.1007/s11232-005-0160-4

Applying the Pfaffianization procedure to the two-dimensional Leznov lattice

J. X. Zhao^*, X. B. Hu, H. W. Tam

^*Corresponding author for this work

Department of Computer Science

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

6 Citations (Scopus)

Abstract

We derive Wronskian and Grammian determinant solutions for the two-dimensional Leznov lattice and provide a Pfaffianized version of this Leznov lattice using Hirota and Ohta's Pfaffianization procedure. We give the Gramm-type Pfaffian solution for the Pfaffianized system explicitly.

Original language	English
Pages (from-to)	1288-1295
Number of pages	8
Journal	Theoretical and Mathematical Physics
Volume	144
Issue number	3
DOIs	https://doi.org/10.1007/s11232-005-0160-4
Publication status	Published - Sept 2005

Scopus Subject Areas

Statistical and Nonlinear Physics
Mathematical Physics

User-Defined Keywords

Grammian
Leznov lattice
Pfaffianization
Soliton solutions
Wronskian

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10.1007/s11232-005-0160-4

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@article{32c9ec0500a14bb99811d60078475fcd,

title = "Applying the Pfaffianization procedure to the two-dimensional Leznov lattice",

abstract = "We derive Wronskian and Grammian determinant solutions for the two-dimensional Leznov lattice and provide a Pfaffianized version of this Leznov lattice using Hirota and Ohta's Pfaffianization procedure. We give the Gramm-type Pfaffian solution for the Pfaffianized system explicitly.",

keywords = "Grammian, Leznov lattice, Pfaffianization, Soliton solutions, Wronskian",

author = "Zhao, {J. X.} and Hu, {X. B.} and Tam, {H. W.}",

note = "Funding Information: Acknowledgments. This work was supported in part by the National Natural Science Foundation of China (Grant No. 10471139), the Chinese Academy of Sciences (a Presidential Grant), the knowledge innovation program of the Institute of Computational Mathematics, AMSS, and the Hong Kong RGC (Grant No. HKBU2016/03P).",

year = "2005",

month = sep,

doi = "10.1007/s11232-005-0160-4",

language = "English",

volume = "144",

pages = "1288--1295",

journal = "Theoretical and Mathematical Physics",

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publisher = "Pleiades Publishing",

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TY - JOUR

T1 - Applying the Pfaffianization procedure to the two-dimensional Leznov lattice

AU - Zhao, J. X.

AU - Hu, X. B.

AU - Tam, H. W.

N1 - Funding Information: Acknowledgments. This work was supported in part by the National Natural Science Foundation of China (Grant No. 10471139), the Chinese Academy of Sciences (a Presidential Grant), the knowledge innovation program of the Institute of Computational Mathematics, AMSS, and the Hong Kong RGC (Grant No. HKBU2016/03P).

PY - 2005/9

Y1 - 2005/9

N2 - We derive Wronskian and Grammian determinant solutions for the two-dimensional Leznov lattice and provide a Pfaffianized version of this Leznov lattice using Hirota and Ohta's Pfaffianization procedure. We give the Gramm-type Pfaffian solution for the Pfaffianized system explicitly.

AB - We derive Wronskian and Grammian determinant solutions for the two-dimensional Leznov lattice and provide a Pfaffianized version of this Leznov lattice using Hirota and Ohta's Pfaffianization procedure. We give the Gramm-type Pfaffian solution for the Pfaffianized system explicitly.

KW - Grammian

KW - Leznov lattice

KW - Pfaffianization

KW - Soliton solutions

KW - Wronskian

UR - http://www.scopus.com/inward/record.url?scp=25144494664&partnerID=8YFLogxK

U2 - 10.1007/s11232-005-0160-4

DO - 10.1007/s11232-005-0160-4

M3 - Journal article

AN - SCOPUS:25144494664

SN - 0040-5779

VL - 144

SP - 1288

EP - 1295

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

IS - 3

ER -

Applying the Pfaffianization procedure to the two-dimensional Leznov lattice

Abstract

Scopus Subject Areas

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