Exact solutions of the cubic–quintic Swift–Hohenberg equation and their bifurcations
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Publication:2844022
DOI10.1080/14689367.2013.790947zbMath1294.35102OpenAlexW2058847053MaRDI QIDQ2844022
Hsien-Ching Kao, Edgar Knoblauch
Publication date: 27 August 2013
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14689367.2013.790947
PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Bifurcation theory for ordinary differential equations (34C23) Bifurcations in context of PDEs (35B32)
Uses Software
Cites Work
- Exact solutions of the Swift-Hohenberg equation with dispersion
- A diagrammatic derivation of (convective) pattern equations
- Exponential time differencing for stiff systems
- Explicit expressions for meromorphic solutions of autonomous nonlinear ordinary differential equations
- Snakes and ladders: localized states in the Swift-Hohenberg equation
- Rigorous numerics for localized patterns to the quintic Swift-Hohenberg equation
- Convectons, anticonvectons and multiconvectons in binary fluid convection
- Bifurcation of a plethora of multi-modal homoclinic orbits for autonomous Hamiltonian systems
- Exact Meromorphic Stationary Solutions of the Real Cubic Swift-Hohenberg Equation
- Spatially localized binary fluid convection in a porous medium
- Modulated and Localized States in a Finite Domain
- Travelling convectons in binary fluid convection
- Spatially localized binary-fluid convection
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