Solitary waves on nonlocal Fermi–Pasta–Ulam lattices: Exponential localization
The paper is devoted to Fermi–Pasta–Ulam lattices with nonlocal interaction. Under natural assumptions we show that all solitary traveling waves are exponentially localized. We reduce the problem to a linear eigenvalue problem for certain integral operator. Then we use functional analysis tools and...
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| Veröffentlicht in: | Nonlinear analysis: real world applications 2019-12, Vol.50, p.603-612 |
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| container_title | Nonlinear analysis: real world applications |
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| creator | Pankov, Alexander |
| description | The paper is devoted to Fermi–Pasta–Ulam lattices with nonlocal interaction. Under natural assumptions we show that all solitary traveling waves are exponentially localized. We reduce the problem to a linear eigenvalue problem for certain integral operator. Then we use functional analysis tools and exponentially weighted spaces of functions to prove the localization of solitary waves. |
| doi_str_mv | 10.1016/j.nonrwa.2019.06.007 |
| format | Article |
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| ispartof | Nonlinear analysis: real world applications, 2019-12, Vol.50, p.603-612 |
| issn | 1468-1218 1878-5719 |
| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Eigenvalues Exponential localization Fermi–Pasta–Ulam lattice Functional analysis Lattices (mathematics) Localization Nonlocal interaction Operators (mathematics) Solitary wave Solitary waves Traveling waves |
| title | Solitary waves on nonlocal Fermi–Pasta–Ulam lattices: Exponential localization |
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