학술논문
The short pulse equation: Bäcklund transformations and applications.
Document Type
Article
Author
Source
Subject
*BACKLUND transformations
*EQUATIONS
*INDEPENDENT variables
*DEPENDENT variables
*EXERCISE
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Language
ISSN
0022-2526
Abstract
A Bäcklund transformation (BT), which involves both independent and dependent variables, is established and studied for the short pulse (SP) equation. Based it, the nonlinear superposition formulae for 2‐, 3‐, and 4‐BT are presented. The general result for the composition of N‐BTs is achieved and given in terms of determinants. As applications, various solutions including loop solitons, breather solutions, and their interaction solutions are worked out. [ABSTRACT FROM AUTHOR]