Lie symmetries of soliton equations with self-consistent sources via source generation procedure

Juan Hu; Xian-Min Qian; Hon-Wah Tam

doi:10.1016/j.jmaa.2009.03.070

Lie symmetries of soliton equations with self-consistent sources via source generation procedure

Juan Hu^*, Xian-Min Qian, Hon-Wah Tam

^*Corresponding author for this work

Department of Computer Science

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

3 Citations (Scopus)

Abstract

In this paper, the 'source generation' procedure (SGP) proposed by Hu and Wang [X.B. Hu, H.Y. Wang, Construction of dKP and BKP equation with self-consistent sources, Inverse Problems 22 (2006) 1903-1920] is utilized to derive Lie symmetries of bilinear soliton equations with self-consistent sources (SESCS) such as KPESCS, BKPESCS, and differential-difference KPESCS. Furthermore, it is shown that these Lie symmetries constitute generators of the corresponding Lie symmetry algebras.

Original language	English
Pages (from-to)	201-213
Number of pages	13
Journal	Journal of Mathematical Analysis and Applications
Volume	357
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2009.03.070
Publication status	Published - 1 Sept 2009

Scopus Subject Areas

Analysis
Applied Mathematics

User-Defined Keywords

KP equation
Sawada–Kotera (SK) equation
Differential–difference KP equation
Lie symmetries
Self-consistent sources
Source generation procedure

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10.1016/j.jmaa.2009.03.070

Cite this

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title = "Lie symmetries of soliton equations with self-consistent sources via source generation procedure",

abstract = "In this paper, the 'source generation' procedure (SGP) proposed by Hu and Wang [X.B. Hu, H.Y. Wang, Construction of dKP and BKP equation with self-consistent sources, Inverse Problems 22 (2006) 1903-1920] is utilized to derive Lie symmetries of bilinear soliton equations with self-consistent sources (SESCS) such as KPESCS, BKPESCS, and differential-difference KPESCS. Furthermore, it is shown that these Lie symmetries constitute generators of the corresponding Lie symmetry algebras.",

keywords = "KP equation, Sawada–Kotera (SK) equation, Differential–difference KP equation, Lie symmetries, Self-consistent sources, Source generation procedure",

author = "Juan Hu and Xian-Min Qian and Hon-Wah Tam",

note = "Funding Information: One of the authors (Juan Hu) would like to express her thanks to her adviser Xing-Biao Hu. This work was partially supported by the National Natural Science Foundation of China (Grant No. 10771207), the knowledge innovation program of the Institute of Computational Math., AMSS, and Hong Kong Baptist University FRG/07-08/I-54.",

year = "2009",

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doi = "10.1016/j.jmaa.2009.03.070",

language = "English",

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pages = "201--213",

journal = "Journal of Mathematical Analysis and Applications",

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T1 - Lie symmetries of soliton equations with self-consistent sources via source generation procedure

AU - Hu, Juan

AU - Qian, Xian-Min

AU - Tam, Hon-Wah

N1 - Funding Information: One of the authors (Juan Hu) would like to express her thanks to her adviser Xing-Biao Hu. This work was partially supported by the National Natural Science Foundation of China (Grant No. 10771207), the knowledge innovation program of the Institute of Computational Math., AMSS, and Hong Kong Baptist University FRG/07-08/I-54.

PY - 2009/9/1

Y1 - 2009/9/1

N2 - In this paper, the 'source generation' procedure (SGP) proposed by Hu and Wang [X.B. Hu, H.Y. Wang, Construction of dKP and BKP equation with self-consistent sources, Inverse Problems 22 (2006) 1903-1920] is utilized to derive Lie symmetries of bilinear soliton equations with self-consistent sources (SESCS) such as KPESCS, BKPESCS, and differential-difference KPESCS. Furthermore, it is shown that these Lie symmetries constitute generators of the corresponding Lie symmetry algebras.

AB - In this paper, the 'source generation' procedure (SGP) proposed by Hu and Wang [X.B. Hu, H.Y. Wang, Construction of dKP and BKP equation with self-consistent sources, Inverse Problems 22 (2006) 1903-1920] is utilized to derive Lie symmetries of bilinear soliton equations with self-consistent sources (SESCS) such as KPESCS, BKPESCS, and differential-difference KPESCS. Furthermore, it is shown that these Lie symmetries constitute generators of the corresponding Lie symmetry algebras.

KW - KP equation

KW - Sawada–Kotera (SK) equation

KW - Differential–difference KP equation

KW - Lie symmetries

KW - Self-consistent sources

KW - Source generation procedure

UR - http://www.scopus.com/inward/record.url?scp=67349236671&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2009.03.070

DO - 10.1016/j.jmaa.2009.03.070

M3 - Journal article

AN - SCOPUS:67349236671

SN - 0022-247X

VL - 357

SP - 201

EP - 213

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Lie symmetries of soliton equations with self-consistent sources via source generation procedure

Abstract

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