Rapidly oscillating solutions of a generalized Korteweg-de Vries equation

DOI10.1134/S0965542517110082zbMath1383.35190OpenAlexW2769818836MaRDI QIDQ1702645

Sergey A. Kaschenko

Publication date: 28 February 2018

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

Full work available at URL: https://doi.org/10.1134/s0965542517110082

zbMATH Keywords

stabilitysingular perturbationsnormal formsbifurcationsgeneralized Korteweg-de Vries equationdynamics of solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Singular perturbations in context of PDEs (35B25) Bifurcations in context of PDEs (35B32)

Cites Work

• Local dynamics of an equation with large delay and distributed deviation of the space variable
• Multistability in nonlinear parabolic systems with low diffusion
• On ``new travelling wave solutions of the KdV and the KdV-Burgers equations
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Quasi-normal forms of two-component singularly perturbed systems
• NORMALIZATION IN THE SYSTEMS WITH SMALL DIFFUSION

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