NUMERICAL SOLUTION OF BOUNDARY VALUE PROBLEMS FOR THE EIKONAL EQUATION IN AN ANISOTROPIC MEDIUM
Article
Journal of Computational and Applied Mathematics.
Elsevier B.V..
Vol. 362.
2019.
P. 55-67
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 exponentially weighted spaces of functions to prove the localization of solitary waves. © 2019 Elsevier Ltd
Authors
Pankov A.
1,
2
Publisher
Elsevier Ltd
Language
English
Pages
603-612
Status
Published
Link
Volume
50
Year
2019
Organizations
- 1 Department of Mathematics, Morgan State University, Baltimore, MD 21251, United States
- 2 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
Exponential localization; Fermi–Pasta–Ulam lattice; Nonlocal interaction; Solitary wave
Date of creation
19.07.2019
Date of change
19.07.2019
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Other records
Scientific Reports.
Nature Publishing Group.
Vol. 9.
2019.