Reduction and bifurcation of traveling waves of the KdV-Burgers-Kuramoto equation

DOI10.3934/dcdsb.2016036zbMath1366.37137OpenAlexW2462377073MaRDI QIDQ321733

Qian Liu, Yu-Qian Zhou

Publication date: 14 October 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2016036

zbMATH Keywords

invariant manifoldtraveling wavegeometric singular perturbationLie symmetry analysisKdV-Burgers-Kuramoto equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

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