BIFURCATION ANALYSIS OF THE KURAMOTO–SIVASHINSKY EQUATION IN ONE SPATIAL DIMENSION

DOI10.1142/S021812740100353XzbMath1091.35541OpenAlexW2014236421MaRDI QIDQ5474225

Changpin Li, Guan-Rong Chen

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812740100353x

Mathematics Subject Classification ID

Related Items (10)

HOPF BIFURCATION OF A DELAYED DIFFERENTIAL EQUATION ⋮ Numerical solution of linear time-fractional Kuramoto-Sivashinsky equation via quintic B -splines ⋮ Hidden Symmetry in a Kuramoto–Sivashinsky Initial-Boundary Value Problem ⋮ Symmetry-breaking bifurcation in \(O(2)\times O(2)\)-symmetric nonlinear large problems and its application to the Kuramoto-Sivashinsky equation in two spatial dimensions ⋮ BIFURCATION ANALYSIS OF THE 1D AND 2D GENERALIZED SWIFT–HOHENBERG EQUATION ⋮ On bifurcation from steady-state solutions to rotating waves in the Kuramoto-Sivashinsky equation ⋮ Bifurcation analysis of composite laminated piezoelectric rectangular plate structure in the case of 1:2 internal resonance ⋮ On new travelling wave solutions of the generalized K-S equation ⋮ Bifurcations and Exact Traveling Wave Solutions in Two Nonlinear Wave Systems ⋮ BIFURCATION FROM AN EQUILIBRIUM OF THE STEADY STATE KURAMOTO–SIVASHINSKY EQUATION IN TWO SPATIAL DIMENSIONS

Cites Work

• Inertial manifolds for nonlinear evolutionary equations
• On the behavior of the solutions of the Kuramoto-Sivashinsky equation for negative time
• A note on bifurcations of \(u^{\prime\prime}+\mu (u-u^k)=0\) \((4 \leq k\in \mathbb{Z}^+)\)
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• On Flame Propagation Under Conditions of Stoichiometry
• BIFURCATIONS OF ONE-DIMENSIONAL REACTION–DIFFUSION EQUATIONS

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