NUMERICAL SOLUTION OF BOUNDARY VALUE PROBLEMS FOR THE EIKONAL EQUATION IN AN ANISOTROPIC MEDIUM
Статья
Journal of Computational and Applied Mathematics.
Elsevier B.V..
Том 362.
2019.
С. 55-67
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