Waves in strongly nonlinear Gardner-like equations on a lattice
- We introduce and study a family of lattice equations which may be viewed either as a strongly nonlinear discrete extension of the Gardner equation, or a non-convex variant of the Lotka-Volterra chain. Their deceptively simple form supports a very rich family of complex solitary patterns. Some of these patterns are also found in the quasi-continuum rendition, but the more intriguing ones, like interlaced pairs of solitary waves, or waves which may reverse their direction either spontaneously or due a collision, are an intrinsic feature of the discrete realm.
| Author details: | Philip RosenauORCiDGND, Arkadij PikovskijORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1088/1361-6544/ac0f51 |
| ISSN: | 0951-7715 |
| ISSN: | 1361-6544 |
| Title of parent work (English): | Nonlinearity / the Institute of Physics and the London Mathematical Society |
| Publisher: | IOP Publ. Ltd. |
| Place of publishing: | Bristol |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2021/08/05 |
| Publication year: | 2021 |
| Release date: | 2024/02/29 |
| Tag: | Gardner equation; compacton; nonlinear lattice; solitary wave |
| Volume: | 34 |
| Issue: | 8 |
| Number of pages: | 25 |
| First page: | 5872 |
| Last Page: | 5896 |
| Funding institution: | Laboratory of Dynamical Systems and Applications NRU HSE of the Ministry of Science and Higher Education of the Russian Federation [07515-2019-1931] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik | |
| Peer review: | Referiert |
| Publishing method: | Open Access / Hybrid Open-Access |
| License (English): |  Creative Commons - Namensnennung 3.0 Unported |
