Colliding dissipative pulses -- the shooting manifold

DOI10.1016/j.jde.2008.03.019zbMath1146.35013OpenAlexW2122876116MaRDI QIDQ931641

Arnd Scheel, J. Douglas Wright

Publication date: 26 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.jde.2008.03.019

zbMATH Keywords

one space dimensionlinear superpositions of two pulses

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57)

Related Items

Arbitrarily weak head-on collision can induce annihilation: the role of hidden instabilities ⋮ Weak and strong interaction of excitation kinks in scalar parabolic equations ⋮ Annihilation of two interfaces in a hybrid system ⋮ Separating dissipative pulses: the exit manifold ⋮ Stability of concatenated traveling waves: alternate approaches ⋮ Computing interacting multi-fronts in one dimensional real Ginzburg Landau equations

Cites Work

• Unnamed Item
• Unnamed Item
• Fast and slow waves in the FitzHugh-Nagumo equation
• Entire solutions with merging fronts to reaction-diffusion equations
• Mathematical physiology
• Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations
• Existence and uniqueness of entire solutions for a reaction-diffusion equation
• Backward global solutions characterizing annihilation dynamics of travelling fronts
• Scattering of traveling spots in dissipative systems
• Multi-pulse evolution and space-time chaos in dissipative systems
• Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
• On the stability of periodic travelling waves with large spatial period
• The motion of weakly interacting pulses in reaction-diffusion systems