Dynamics of traveling waves for the perturbed generalized KdV equation
type: Item
instance of: scholarly article
title: Dynamics of traveling waves for the perturbed generalized KdV equation
zbMATH Open document ID: 1472.35296
author: Jianjiang Ge
author: Ranchao Wu
author: Zengji Du
published in: Qualitative Theory of Dynamical Systems
publication date: 2021-06-30T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 34D15
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35C09
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35R01
zbMATH DE Number: 7365492
zbMATH Keywords: geometric singular perturbation
zbMATH Keywords: invariant manifold
zbMATH Keywords: solitary waves
zbMATH Keywords: abelian integrals
MaRDI profile type: Publication
full work available at URL: s12346-021-00483-9
OpenAlex ID: W3158514941
cites work: Wave breaking for nonlinear nonlocal shallow water equations
cites work: Model equations for long waves in nonlinear dispersive systems
cites work: A derivation of equations for wave propagation in water of variable depth
cites work: An integrable shallow water equation with peaked solitons
cites work: Q4508328
cites work: Q4151274
cites work: On the uniqueness of traveling waves in perturbed Korteweg-de Vries equations
cites work: Travelling wave solutions to a perturbed Korteweg-de Vries equation
cites work: Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
cites work: Solitary waves and periodic waves in a perturbed KdV equation
cites work: Abelian integrals and bifurcation theory
cites work: On the number of critical points of the period
cites work: A codimension two bifurcation with a third order Picard-Fuchs equation
cites work: Existence and stability of traveling pulses in a reaction-diffusion-mechanics system
cites work: Traveling Waves for a Model of a Fungal Disease over a Vineyard
cites work: Existence and instability of spike layer solutions to singular perturbation problems
cites work: Dynamical systems analysis of the Maasch-Saltzman model for glacial cycles
cites work: Local analysis near a folded saddle-node singularity
cites work: Turning points and traveling waves in Fitzhugh--Nagumo type equations
cites work: Normally hyperbolic invariant manifolds for random dynamical systems. I: Persistence
cites work: Invariant foliations for random dynamical systems
cites work: Geometric singular perturbation theory with real noise
cites work: Singular fold with real noise
cites work: Geometric singular perturbation theory for ordinary differential equations
cites work: The existence of solitary wave solutions of delayed Camassa-Holm equation via a geometric approach
DOI: 10.1007/S12346-021-00483-9
description: scientific article; zbMATH DE number 7365492