Existence of standing pulse solutions to an inhomogeneous reaction-diffusion system

DOI10.1023/A:1022651311294zbMath0896.34041MaRDI QIDQ1382707

Jonathan E. Rubin, Christopher K. R. T. Jones

Publication date: 6 October 1998

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

reaction-diffusion systeminhomogeneousgeometric singular perturbationstanding waveshomogeneoussemiconductor Fabry-Pérot interferometer

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Lasers, masers, optical bistability, nonlinear optics (78A60) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (10)

On a sharp weighted Sobolev inequality on the upper half-space and its applications ⋮ Coexistence of a pulse and multiple spikes and transition layers in the standing waves of a reaction-diffusion system ⋮ Dynamics of two interfaces in a hybrid system with jump-type heterogeneity ⋮ Construction and asymptotic stability of structurally stable internal layer solutions ⋮ Controlling excitable wave behaviors through the tuning of three parameters ⋮ The existence and stability of travelling waves with transition layers for some singular cross-diffusion systems ⋮ Stability, bifurcations and edge oscillations in standing pulse solutions to an inhomogeneous reaction-diffusion system ⋮ Pulse dynamics in a three-component system: Existence analysis ⋮ A sharp Hardy-Sobolev inequality with boundary term and applications ⋮ A Three-Scale Model of Spatio-Temporal Bursting

This page was built for publication: Existence of standing pulse solutions to an inhomogeneous reaction-diffusion system