Construction of families of equations to describe irregular solutions in the Fermi-Pasta-Ulam problem

DOI10.1134/S1064562421060107OpenAlexW4285334942MaRDI QIDQ2121843

Sergey A. Kaschenko

Publication date: 5 April 2022

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421060107

zbMATH Keywords

asymptoticsFermi-Pasta-Ulam problemquasi-normal formsspatially distributed chains

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

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• Refinement of the Korteweg-de Vries equation from the Fermi-pasta-Ulam model
• From the Fermi-Pasta-Ulam model to higher-order nonlinear evolution equations
• Quasi-normal forms of two-component singularly perturbed systems
• Asymptotic behavior of rapidly oscillating solutions of the modified Camassa-Holm equation
• The interaction of waves in the Fermi-Pasta-Ulam model
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• NORMALIZATION IN THE SYSTEMS WITH SMALL DIFFUSION
• Method for Solving the Korteweg-deVries Equation

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