Published July 24, 2020 | Version v1
Journal article Metadata-only

The modified Camassa–Holm equation: Bäcklund transformation and nonlinear superposition formula

Creators

  • 1. Department of Mathematics, China University of Mining and Technology, Beijing 100083 (China)
  • 2. School of Mathematics and Statistics, Nanning Normal University, Nanning, Guangxi 530001 (China)

Description

This paper is concerned with the modified Camassa–Holm equation and its Bäcklund transformation. With the aid of reciprocal transformation and the associated modified Camassa–Holm equation, a Bäcklund transformation, which involves both dependent and independent variables, is constructed for the modified Camassa–Holm equation. The related nonlinear superposition formula is worked out and applications of both Bäcklund transformation and nonlinear superposition formula are considered. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8121/ab7136

Additional details

Identifiers

DOI
10.1088/1751-8121/ab7136;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
53
Journal Issue
29
Journal Page Range
[15 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
52065781
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
EQUATIONS; NONLINEAR PROBLEMS; TRANSFORMATIONS