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

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.

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Bibliographic Details
Published inApplied mathematics letters Vol. 13; no. 6; pp. 45 - 48
Main Authors Hu, Xing-Biao, Wang, Dao-Liu, Tam, Hon-Wah
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.08.2000
Subjects
Bäcklund transformations
Integrable systems
Lax pairs
Solitons
Bäcklund transformations
Integrable systems
Lax pairs
Solitons
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Summary: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.
ISSN:0893-9659
1873-5452
DOI:10.1016/S0893-9659(00)00052-5