Symmetries, periodic plane waves and blow-up of \(\lambda-\omega\) systems

DOI10.1016/S0167-2789(00)00161-5zbMath0963.35085MaRDI QIDQ1841167

Yanyan Li

Publication date: 19 June 2001

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

blow-upnonclassical symmetries\(\lambda-\omega\) systemsperiodic plane waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57)

Related Items (6)

The effects of obstacle size on periodic travelling waves in oscillatory reaction–diffusion equations ⋮ The \(K(m, n)\) equation with generalized evolution term studied by symmetry reductions and qualitative analysis ⋮ A THERMAL EXPLOSION IN A CYLINDRICAL VESSEL: A NON-CLASSICAL SYMMETRY APPROACH ⋮ Persistence of periodic patterns for perturbed biological oscillators ⋮ Application of Lie point symmetries to the resolution of an interface problem in a generalized Fisher equation ⋮ Conditional Lie-Bäcklund symmetry, second-order differential constraint and direct reduction of diffusion systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetries of non-linear reaction-diffusion equations and their solutions
• Isovectors and similarity solutions for nonlinear reaction-diffusion equations
• Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
• Symmetry reductions and exact solutions of a class of nonlinear heat equations
• Spiral waves for \(\lambda\)-\(\omega\) systems. II
• The construction of special solutions to partial differential equations
• Rotating Spiral Waves in Reaction-Diffusion Systems: Phase Singularities of Multi-Armed Waves
• Group-Invariant Solutions of Differential Equations
• Plane Wave Solutions to Reaction-Diffusion Equations
• Lie symmetries and multiple solutions in reaction-diffusion systems
• Nonclassical symmetries of a porous medium equation with absorption
• The amplitude of periodic plane waves depends on initial conditions in a variety of lambda - omega systems
• On the speed of amplitude transition waves in reaction-diffusion systems of λ−ω type
• On the Evolution of Periodic Plane Waves in Reaction-Diffusion Systems of $\lambda $–$\omega$ Type
• Algorithms for the Nonclassical Method of Symmetry Reductions
• Spiral Waves in Reaction-Diffusion Equations
• Symmetries and differential equations

This page was built for publication: Symmetries, periodic plane waves and blow-up of \(\lambda-\omega\) systems