On an integrable two-dimensional special lattice with self-consistent sources

Gegenhasi; Hon Wah Tam; Hong Yan Wang

doi:10.1016/S0034-4877(06)80047-9

On an integrable two-dimensional special lattice with self-consistent sources

Gegenhasi^*
, Hon Wah Tam
, Hong Yan Wang

^*Corresponding author for this work

Department of Computer Science

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

1 Citation (Scopus)

Abstract

We propose a two-dimensional special lattice with self-consistent sources which is a coupled higher-dimensional Yajima-Oikawa system. The N-soliton solutions expressed in terms of the Casorati determinants are given through Wronskian technique. The Lax presentation for the special two-dimensional lattice with self-consistent sources is derived from bilinear Biicklund transformation.

Original language	English
Pages (from-to)	195-205
Number of pages	11
Journal	Reports on Mathematical Physics
Volume	58
Issue number	2
DOIs	https://doi.org/10.1016/S0034-4877(06)80047-9
Publication status	Published - Oct 2006

User-Defined Keywords

bilinear Bäcklund transformation
bilinear form
Casorati determinant
Lax pair
two-dimensional special lattice with self-consistent sources

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10.1016/S0034-4877(06)80047-9

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title = "On an integrable two-dimensional special lattice with self-consistent sources",

abstract = "We propose a two-dimensional special lattice with self-consistent sources which is a coupled higher-dimensional Yajima-Oikawa system. The N-soliton solutions expressed in terms of the Casorati determinants are given through Wronskian technique. The Lax presentation for the special two-dimensional lattice with self-consistent sources is derived from bilinear Biicklund transformation.",

keywords = "bilinear B{\"a}cklund transformation, bilinear form, Casorati determinant, Lax pair, two-dimensional special lattice with self-consistent sources",

author = "Gegenhasi and Tam, \{Hon Wah\} and Wang, \{Hong Yan\}",

note = "Funding Information: We are grateful to the referees for their valuable comments and suggestions which make the improved version of the paper possible. Two of the authors (Gegenhasi and HY Wang) would like to express their hearty thanks to Prof. Xing-Biao Hu for his guidance and encouragement. This work was partially 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 the Hong Kong RGC Grant No. HKBU2016/05P.",

year = "2006",

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doi = "10.1016/S0034-4877(06)80047-9",

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T1 - On an integrable two-dimensional special lattice with self-consistent sources

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AU - Tam, Hon Wah

AU - Wang, Hong Yan

N1 - Funding Information: We are grateful to the referees for their valuable comments and suggestions which make the improved version of the paper possible. Two of the authors (Gegenhasi and HY Wang) would like to express their hearty thanks to Prof. Xing-Biao Hu for his guidance and encouragement. This work was partially 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 the Hong Kong RGC Grant No. HKBU2016/05P.

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N2 - We propose a two-dimensional special lattice with self-consistent sources which is a coupled higher-dimensional Yajima-Oikawa system. The N-soliton solutions expressed in terms of the Casorati determinants are given through Wronskian technique. The Lax presentation for the special two-dimensional lattice with self-consistent sources is derived from bilinear Biicklund transformation.

AB - We propose a two-dimensional special lattice with self-consistent sources which is a coupled higher-dimensional Yajima-Oikawa system. The N-soliton solutions expressed in terms of the Casorati determinants are given through Wronskian technique. The Lax presentation for the special two-dimensional lattice with self-consistent sources is derived from bilinear Biicklund transformation.

KW - bilinear Bäcklund transformation

KW - bilinear form

KW - Casorati determinant

KW - Lax pair

KW - two-dimensional special lattice with self-consistent sources

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DO - 10.1016/S0034-4877(06)80047-9

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AN - SCOPUS:33847055451

SN - 0034-4877

VL - 58

SP - 195

EP - 205

JO - Reports on Mathematical Physics

JF - Reports on Mathematical Physics

IS - 2

ER -

On an integrable two-dimensional special lattice with self-consistent sources

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