Regular and irregular solutions in the problem of dislocations in solids

DOI10.1134/S0040577918060028zbMath1400.82281OpenAlexW2850840446MaRDI QIDQ1791882

Sergey A. Kaschenko

Publication date: 11 October 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577918060028

zbMATH Keywords

stabilitysingular perturbationdynamicsbifurcationnormal form

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Statistical mechanics of solids (82D20) Bifurcations in context of PDEs (35B32) PDEs in connection with statistical mechanics (35Q82)

Related Items (2)

Asymptotic behavior of rapidly oscillating solutions of the modified Camassa-Holm equation ⋮ Asymptotics of regular solutions to the Camassa-Holm problem

Cites Work

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• Normal form for the KdV-Burgers equation
• From the Fermi-Pasta-Ulam model to higher-order nonlinear evolution equations
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• Packets of resonant modes in the Fermi-Pasta-Ulam system
• Analytical properties of nonlinear dislocation equation
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• NORMALIZATION IN THE SYSTEMS WITH SMALL DIFFUSION
• Solution asymptotics at large times for the non-linear Schrödinger equation
• Method for Solving the Korteweg-deVries Equation
• The dissipative property of a cubic non-linear Schrödinger equation

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