Existence of subsonic periodic traveling waves in discrete Klein-Gordon type equations with nonlocal interaction
The article deals with the discrete Klein-Gordon type equations that describe infinite chains of linearly coupled nonlinear oscillators with nonlocal interactions. It is assumed that each oscillator interacts with several of its neighbors on both sides. The main result concerns the existence of sub...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University
2024-10-01
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| Series: | Математика, інформатика, фізика: наука та освіта |
| Subjects: | |
| Online Access: | https://intranet.vspu.edu.ua/miph/index.php/journal/article/view/21 |
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| Summary: | The article deals with the discrete Klein-Gordon type equations that describe infinite chains of linearly coupled nonlinear oscillators with nonlocal interactions. It is assumed that each oscillator interacts with several of its neighbors on both sides. The main result concerns the existence of
subsonic periodic traveling wave solutions in such equations. Sufficient conditions for the existence of such waves are established using the variational method and the linking theorem. |
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| ISSN: | 3041-1955 |