Binary bell polynomials approach to generalized Nizhnik - Novikov - Veselov equation

Xiao Rui Hu; Yong Chen

doi:10.1088/0253-6102/56/2/04

Binary bell polynomials approach to generalized Nizhnik - Novikov - Veselov equation

Xiao Rui Hu^*
, Yong Chen

^*Corresponding author for this work

School of Mathematical Sciences

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

18 Scopus citations

Abstract

The elementary and systematic binary Bell polynomials method is applied to the generalized Nizhnik - Novikov - Veselov (GNNV) equation. The bilinear representation, bilinear Bäcklund transformation, Lax pair and infinite conservation laws of the GNNV equation are obtained directly, without too much trick like Hirota's bilinear method.

Original language	English
Pages (from-to)	218-222
Number of pages	5
Journal	Communications in Theoretical Physics
Volume	56
Issue number	2
DOIs	https://doi.org/10.1088/0253-6102/56/2/04
State	Published - Aug 2011

Keywords

Generalized Nizhnik-Novikov-Veselov equation
binary Bell polynomials
conservation laws

Access to Document

10.1088/0253-6102/56/2/04

Cite this

@article{7bf448d200d54b599261e12348f95794,

title = "Binary bell polynomials approach to generalized Nizhnik - Novikov - Veselov equation",

abstract = "The elementary and systematic binary Bell polynomials method is applied to the generalized Nizhnik - Novikov - Veselov (GNNV) equation. The bilinear representation, bilinear B{\"a}cklund transformation, Lax pair and infinite conservation laws of the GNNV equation are obtained directly, without too much trick like Hirota's bilinear method.",

keywords = "Generalized Nizhnik-Novikov-Veselov equation, binary Bell polynomials, conservation laws",

author = "Hu, \{Xiao Rui\} and Yong Chen",

year = "2011",

month = aug,

doi = "10.1088/0253-6102/56/2/04",

language = "英语",

volume = "56",

pages = "218--222",

journal = "Communications in Theoretical Physics",

issn = "0253-6102",

publisher = "IOP Publishing Ltd.",

number = "2",

}

TY - JOUR

T1 - Binary bell polynomials approach to generalized Nizhnik - Novikov - Veselov equation

AU - Hu, Xiao Rui

AU - Chen, Yong

PY - 2011/8

Y1 - 2011/8

N2 - The elementary and systematic binary Bell polynomials method is applied to the generalized Nizhnik - Novikov - Veselov (GNNV) equation. The bilinear representation, bilinear Bäcklund transformation, Lax pair and infinite conservation laws of the GNNV equation are obtained directly, without too much trick like Hirota's bilinear method.

AB - The elementary and systematic binary Bell polynomials method is applied to the generalized Nizhnik - Novikov - Veselov (GNNV) equation. The bilinear representation, bilinear Bäcklund transformation, Lax pair and infinite conservation laws of the GNNV equation are obtained directly, without too much trick like Hirota's bilinear method.

KW - Generalized Nizhnik-Novikov-Veselov equation

KW - binary Bell polynomials

KW - conservation laws

UR - https://www.scopus.com/pages/publications/80051983029

U2 - 10.1088/0253-6102/56/2/04

DO - 10.1088/0253-6102/56/2/04

M3 - 文章

AN - SCOPUS:80051983029

SN - 0253-6102

VL - 56

SP - 218

EP - 222

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 2

ER -

Binary bell polynomials approach to generalized Nizhnik - Novikov - Veselov equation

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this