On traveling waves in Fermi-Pasta-Ulam type systems with nonlocal interaction on 2D-lattice
| dc.contributor.author | Bak, S. | |
| dc.contributor.author | Kovtoniuk, H. | |
| dc.date.accessioned | 2025-11-29T10:27:25Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | We consider the Fermi–Pasta–Ulam-type systems that describe an infinite systems of particles with nonlocal interaction on a two dimensional lattice. The main result concerns the existence of periodic and solitary traveling waves solutions. By means of critical point theory, sufficient conditions for the existence of such solutions are obtained. | |
| dc.identifier.citation | Bak S., Kovtoniuk H. On traveling waves in Fermi-Pasta-Ulam type systems with nonlocal interaction on 2D-lattice. Abstracts of V International Scientific and Practical Internet Conference «Mathematics and Informatics in Science and Education: Challenges of Modernity» (May 1-2, 2025, Vinnytsia, Ukraine) [Electronic network scientific publication]: book of abstracts. Vinnytsia, 2025. P. 26-30. | |
| dc.identifier.uri | https://dspace.vspu.edu.ua/handle/123456789/16244 | |
| dc.language.iso | en_US | |
| dc.subject | traveling waves | |
| dc.subject | Fermi–Pasta–Ulam-type systems | |
| dc.subject | 2D-lattice | |
| dc.subject | critical point theory | |
| dc.title | On traveling waves in Fermi-Pasta-Ulam type systems with nonlocal interaction on 2D-lattice | |
| dc.type | Article |