The semistrong limit of multipulse interaction in a thermally driven optical system
type: Item
instance of: scholarly article
title: The semistrong limit of multipulse interaction in a thermally driven optical system
zbMATH Open document ID: 1154.35449
author: Richard O. Moore
author: Keith Promislow
published in: Journal of Differential Equations
publication date: 2008-09-16T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 78A10
zbMATH DE Number: 5344301
zbMATH Keywords: nonlinear Schrödinger system
zbMATH Keywords: semistrong interaction
zbMATH Keywords: renormalization group
MaRDI profile type: Publication
full work available at URL: j.jde.2008.06.015
OpenAlex ID: W2051004541
cites work: Nonlinear stability of oscillatory pulses in the parametric nonlinear Schrödinger equation
cites work: Slowly modulated two-pulse solutions in the Gray-Scott model. I: Asymptotic construction and stability
cites work: Large stable pulse solutions in reaction-diffusion equations
cites work: Semistrong Pulse Interactions in a Class of Coupled Reaction-Diffusion Equations
cites work: Nonlinear Asymptotic Stability of the Semistrong Pulse Dynamics in a Regularized Gierer–Meinhardt Model
cites work: The motion of weakly interacting pulses in reaction-diffusion systems
cites work: Pulse-pulse interaction in reaction-diffusion systems
cites work: Geometric theory of semilinear parabolic equations
cites work: Q4847945
cites work: Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations
cites work: Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients
cites work: Renormalization group reduction of pulse dynamics in thermally loaded optical parametric oscillators
cites work: Bifurcation and asymptotic stability in the large detuning limit of the optical parametric oscillator
cites work: Singular Limit Analysis of Stability of Traveling Wave Solutions in Bistable Reaction-Diffusion Systems
cites work: Spatio-temporal chaos for the Gray-Scott model
cites work: A Renormalization Method for Modulational Stability of Quasi-Steady Patterns in Dispersive Systems
cites work: Q4405392
cites work: Stability of multiple-pulse solutions
cites work: Q4550350
cites work: Defects in Oscillatory Media: Toward a Classification
cites work: The Slow Dynamics of Two-Spike Solutions for the Gray--Scott and Gierer--Meinhardt Systems: Competition and Oscillatory Instabilities
cites work: Hopf bifurcation of spike solutions for the shadow GiererMeinhardt model
cites work: On the spectrum determined growth assumption and the perturbation of \(C_0\) semigroups
DOI: 10.1016/J.JDE.2008.06.015
description: scientific article; zbMATH DE number 5344301