Lax pairs and Bäcklund transformations for a coupled Ramani equation and its related system

Xing Biao Hu; Dao Liu Wang; Hon Wah Tam

doi:10.1016/S0893-9659(00)00052-5

Lax pairs and Bäcklund transformations for a coupled Ramani equation and its related system

Xing Biao Hu^*
, Dao Liu Wang
, Hon Wah Tam

^*Corresponding author for this work

Department of Computer Science

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

38 Citations (Scopus)

Abstract

A coupled Ramani equation and its related system are proposed. By dependent variable transformation, they are transformed into bilinear equations. Lax pairs and Bäcklund transformations are presented for these two systems. Soliton solutions and rational solutions to the systems could be obtained.

Original language	English
Pages (from-to)	45-48
Number of pages	4
Journal	Applied Mathematics Letters
Volume	13
Issue number	6
DOIs	https://doi.org/10.1016/S0893-9659(00)00052-5
Publication status	Published - 19 Jul 2000

User-Defined Keywords

Bäcklund transformations
Integrable systems
Lax pairs
Solitons

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10.1016/S0893-9659(00)00052-5

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title = "Lax pairs and B{\"a}cklund transformations for a coupled Ramani equation and its related system",

abstract = "A coupled Ramani equation and its related system are proposed. By dependent variable transformation, they are transformed into bilinear equations. Lax pairs and B{\"a}cklund transformations are presented for these two systems. Soliton solutions and rational solutions to the systems could be obtained.",

keywords = "B{\"a}cklund transformations, Integrable systems, Lax pairs, Solitons",

author = "Hu, \{Xing Biao\} and Wang, \{Dao Liu\} and Tam, \{Hon Wah\}",

note = "Funding Information: This work was supported by the National Natural Science Foundation of China (Project No. 19871082), the China State Major Key Project for Basic Researches, the Chinese Academy of Sciences, and Hong Kong Baptist University Grant FRG/97-98/II-100.",

year = "2000",

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T1 - Lax pairs and Bäcklund transformations for a coupled Ramani equation and its related system

AU - Hu, Xing Biao

AU - Wang, Dao Liu

AU - Tam, Hon Wah

N1 - Funding Information: This work was supported by the National Natural Science Foundation of China (Project No. 19871082), the China State Major Key Project for Basic Researches, the Chinese Academy of Sciences, and Hong Kong Baptist University Grant FRG/97-98/II-100.

PY - 2000/7/19

Y1 - 2000/7/19

N2 - A coupled Ramani equation and its related system are proposed. By dependent variable transformation, they are transformed into bilinear equations. Lax pairs and Bäcklund transformations are presented for these two systems. Soliton solutions and rational solutions to the systems could be obtained.

AB - A coupled Ramani equation and its related system are proposed. By dependent variable transformation, they are transformed into bilinear equations. Lax pairs and Bäcklund transformations are presented for these two systems. Soliton solutions and rational solutions to the systems could be obtained.

KW - Bäcklund transformations

KW - Integrable systems

KW - Lax pairs

KW - Solitons

UR - https://www.scopus.com/pages/publications/0039838914

U2 - 10.1016/S0893-9659(00)00052-5

DO - 10.1016/S0893-9659(00)00052-5

M3 - Journal article

AN - SCOPUS:0039838914

SN - 0893-9659

VL - 13

SP - 45

EP - 48

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 6

ER -

Lax pairs and Bäcklund transformations for a coupled Ramani equation and its related system

Abstract

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