A new kind of nonlocal symmetry for the μ‐Camassa‐Holm equation with linear dispersion. (28th October 2018)
- Record Type:
- Journal Article
- Title:
- A new kind of nonlocal symmetry for the μ‐Camassa‐Holm equation with linear dispersion. (28th October 2018)
- Main Title:
- A new kind of nonlocal symmetry for the μ‐Camassa‐Holm equation with linear dispersion
- Authors:
- Shi, Zhenhua
Du, Jingjing - Abstract:
- Abstract : The μ ‐Camassa‐Holm equation with linear dispersion is a completely integrable model. In this paper, it is shown that this equation has quadratic pseudo‐potentials that allow us to construct pseudo‐potential–type nonlocal symmetries. As an application, we obtain its recursion operator by using this kind of nonlocal symmetry, and we construct a Darboux transformation for the μ ‐Camassa‐Holm equation.
- Is Part Of:
- Mathematical methods in the applied sciences. Volume 42:Number 1(2019)
- Journal:
- Mathematical methods in the applied sciences
- Issue:
- Volume 42:Number 1(2019)
- Issue Display:
- Volume 42, Issue 1 (2019)
- Year:
- 2019
- Volume:
- 42
- Issue:
- 1
- Issue Sort Value:
- 2019-0042-0001-0000
- Page Start:
- 272
- Page End:
- 286
- Publication Date:
- 2018-10-28
- Subjects:
- Camassa‐Holm equation -- integrability property -- nonlocal symmetries -- pseudo‐potential surfaces
Mathematics -- Periodicals
Technology -- Mathematics -- Periodicals
519 - Journal URLs:
- http://onlinelibrary.wiley.com/ ↗
- DOI:
- 10.1002/mma.5343 ↗
- Languages:
- English
- ISSNs:
- 0170-4214
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 5402.530000
British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 9138.xml