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- Title
Elucidating the FPU-paradox based on the dynamics of Kuznetzov–Ma breathers.
- Authors
Nfor, Nkeh Oma; Ndjanfang, Désiré
- Abstract
Unlike Zabusky and Kruskal who exploited the Korteweg–de Vries traveling solitons to explain the FPU-recurrence phenomenon, we consider a more robust time periodic Kuznetzov–Ma breather to resolve the paradox. The nonlinear Schrödinger equation is derived from the equation of motion of β -FPU chain, by using the method of multiple scales combined with a quasi-discreteness approximation. Modulational instability leads to the generation of a nonlinear wave of finite background, known as the Kuznetzov–Ma breather. The spatial localization and time periodic profile of the Kuznetzov–Ma breathers make it ideal in mimicking the FPU-recurrence phenomenon, as underscored by results of numerical simulations.
- Subjects
NONLINEAR Schrodinger equation; MULTIPLE scale method; MODULATIONAL instability; NONLINEAR waves
- Publication
Modern Physics Letters B, 2024, Vol 38, Issue 25, p1
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S021798492450235X