Bilinear Bäcklund transformation and Lax pair for a coupled Ramani equation

Yi He; Hon Wah Tam

doi:10.1016/j.jmaa.2009.04.006

Bilinear Bäcklund transformation and Lax pair for a coupled Ramani equation

Yi He^*, Hon Wah Tam

^*Corresponding author for this work

Department of Computer Science

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

7 Citations (Scopus)

Abstract

In this paper, a coupled Ramani equation is proposed. The bilinear Bäcklund transformation and Lax pair for this equation are derived starting from its bilinear form. Multisoliton solutions to the system can also be obtained.

Original language	English
Pages (from-to)	132-136
Number of pages	5
Journal	Journal of Mathematical Analysis and Applications
Volume	357
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2009.04.006
Publication status	Published - 1 Sept 2009

Scopus Subject Areas

Analysis
Applied Mathematics

User-Defined Keywords

Bäcklund transformation
Coupled Ramani equation
Lax pair
Soliton

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10.1016/j.jmaa.2009.04.006

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title = "Bilinear B{\"a}cklund transformation and Lax pair for a coupled Ramani equation",

abstract = "In this paper, a coupled Ramani equation is proposed. The bilinear B{\"a}cklund transformation and Lax pair for this equation are derived starting from its bilinear form. Multisoliton solutions to the system can also be obtained.",

keywords = "B{\"a}cklund transformation, Coupled Ramani equation, Lax pair, Soliton",

author = "Yi He and Tam, {Hon Wah}",

note = "Funding Information: One of the authors (Yi He) would like to express her sincere thanks to Professor Xing-Biao Hu for his guidance and encouragement. This work was supported by the National Natural Science Foundation of China (Grant No. 10771207) and the Hong Kong Research Grant Council (Grant No. HKBU202007).",

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doi = "10.1016/j.jmaa.2009.04.006",

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T1 - Bilinear Bäcklund transformation and Lax pair for a coupled Ramani equation

AU - He, Yi

AU - Tam, Hon Wah

N1 - Funding Information: One of the authors (Yi He) would like to express her sincere thanks to Professor Xing-Biao Hu for his guidance and encouragement. This work was supported by the National Natural Science Foundation of China (Grant No. 10771207) and the Hong Kong Research Grant Council (Grant No. HKBU202007).

PY - 2009/9/1

Y1 - 2009/9/1

N2 - In this paper, a coupled Ramani equation is proposed. The bilinear Bäcklund transformation and Lax pair for this equation are derived starting from its bilinear form. Multisoliton solutions to the system can also be obtained.

AB - In this paper, a coupled Ramani equation is proposed. The bilinear Bäcklund transformation and Lax pair for this equation are derived starting from its bilinear form. Multisoliton solutions to the system can also be obtained.

KW - Bäcklund transformation

KW - Coupled Ramani equation

KW - Lax pair

KW - Soliton

UR - http://www.scopus.com/inward/record.url?scp=67349243688&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2009.04.006

DO - 10.1016/j.jmaa.2009.04.006

M3 - Journal article

AN - SCOPUS:67349243688

SN - 0022-247X

VL - 357

SP - 132

EP - 136

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Bilinear Bäcklund transformation and Lax pair for a coupled Ramani equation

Abstract

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