On the localized wave patterns supported by convection-reaction-diffusion equation

DOI10.1016/S0034-4877(10)00012-1zbMath1205.35039arXiv0907.1282MaRDI QIDQ615181

Cz. Mączka, Vsevolod Vladimirov

Publication date: 5 January 2011

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.1282

zbMATH Keywords

solitary waveshomoclinic bifurcationcompactonssymmetry reductionAndronov-Hopf bifurcationshock fronts

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Qualitative investigation and simulation of ordinary differential equation models (34C60) Solitary waves in solid mechanics (74J35) Traveling wave solutions (35C07) Quasilinear parabolic equations (35K59)

Related Items (2)

On the stability of some exact solutions to the generalized convection-reaction-diffusion equation ⋮ On the stability of kink-like and soliton-like solutions of the generalized convection-reaction-diffusion equation

Cites Work

• Exact travelling wave solutions of some nonlinear evolutionary equations
• Compacton-like solutions of the hydrodynamic system describing relaxing media
• Travelling waves in nonlinear diffusion-convection reaction
• Analytical description of the coherent structures within the hyperbolic generalization of Burgers equation
• Singular limits of spatially inhomogeneous convection-reaction-diffusion equations
• Phase compactons
• Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method
• Compactons: Solitons with finite wavelength
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the localized wave patterns supported by convection-reaction-diffusion equation