A vector asymmetrical NNV equation: Soliton solutions, bilinear Bäcklund transformation and Lax pair

Guo Fu Yu; Hon Wah TAM

doi:10.1016/j.jmaa.2008.02.057

A vector asymmetrical NNV equation: Soliton solutions, bilinear Bäcklund transformation and Lax pair

Guo Fu Yu^*
, Hon Wah TAM

^*Corresponding author for this work

Department of Computer Science

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

35 Citations (Scopus)

Abstract

A vector asymmetrical Nizhnik-Novikov-Veselov (NNV) equation is proposed based on its bilinear form. Soliton solutions expressed by Pfaffians are obtained. Bilinear Bäcklund transformation and the corresponding Lax pair for the vector ANNV equation are derived.

Original language	English
Pages (from-to)	593-600
Number of pages	8
Journal	Journal of Mathematical Analysis and Applications
Volume	344
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2008.02.057
Publication status	Published - 15 Aug 2008

User-Defined Keywords

Bäcklund transformation
Lax pair
NNV equation
Pfaffian
Soliton solution

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10.1016/j.jmaa.2008.02.057

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title = "A vector asymmetrical NNV equation: Soliton solutions, bilinear B{\"a}cklund transformation and Lax pair",

abstract = "A vector asymmetrical Nizhnik-Novikov-Veselov (NNV) equation is proposed based on its bilinear form. Soliton solutions expressed by Pfaffians are obtained. Bilinear B{\"a}cklund transformation and the corresponding Lax pair for the vector ANNV equation are derived.",

keywords = "B{\"a}cklund transformation, Lax pair, NNV equation, Pfaffian, Soliton solution",

author = "Yu, \{Guo Fu\} and TAM, \{Hon Wah\}",

note = "Funding Information: This work was supported by the National Natural Science Foundation of China (Grant No. 10771207), CAS President grant, the knowledge innovation program of the Institute of Computational Math., AMSS and Hong Kong RGC Grant No. HKBU202007.",

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doi = "10.1016/j.jmaa.2008.02.057",

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T1 - A vector asymmetrical NNV equation

T2 - Soliton solutions, bilinear Bäcklund transformation and Lax pair

AU - Yu, Guo Fu

AU - TAM, Hon Wah

N1 - Funding Information: This work was supported by the National Natural Science Foundation of China (Grant No. 10771207), CAS President grant, the knowledge innovation program of the Institute of Computational Math., AMSS and Hong Kong RGC Grant No. HKBU202007.

PY - 2008/8/15

Y1 - 2008/8/15

N2 - A vector asymmetrical Nizhnik-Novikov-Veselov (NNV) equation is proposed based on its bilinear form. Soliton solutions expressed by Pfaffians are obtained. Bilinear Bäcklund transformation and the corresponding Lax pair for the vector ANNV equation are derived.

AB - A vector asymmetrical Nizhnik-Novikov-Veselov (NNV) equation is proposed based on its bilinear form. Soliton solutions expressed by Pfaffians are obtained. Bilinear Bäcklund transformation and the corresponding Lax pair for the vector ANNV equation are derived.

KW - Bäcklund transformation

KW - Lax pair

KW - NNV equation

KW - Pfaffian

KW - Soliton solution

UR - https://www.scopus.com/pages/publications/43449087323

U2 - 10.1016/j.jmaa.2008.02.057

DO - 10.1016/j.jmaa.2008.02.057

M3 - Journal article

AN - SCOPUS:43449087323

SN - 0022-247X

VL - 344

SP - 593

EP - 600

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

A vector asymmetrical NNV equation: Soliton solutions, bilinear Bäcklund transformation and Lax pair

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