Geometric singular perturbation analysis of Degasperis-Procesi equation with distributed delay
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Publication:2229374
DOI10.3934/dcds.2020305zbMath1477.34081OpenAlexW3048622337MaRDI QIDQ2229374
Publication date: 23 February 2021
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2020305
homoclinic orbitsinvariant manifoldsolitary wave solutionsDegasperis-Procesi equationgeometric singular perturbation theory
Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)
Related Items (6)
Dynamics of solitary waves and periodic waves for a generalized KP-MEW-Burgers equation with damping ⋮ Traveling pulses of coupled Fitzhugh-Nagumo equations with doubly-diffusive effect ⋮ Solitary waves of the perturbed KdV equation with nonlocal effects ⋮ Traveling waves of delayed Zakharov-Kuznetsov Kuramoto-Sivashinsky equation ⋮ Existence of traveling wave solutions for the perturbed modefied Gardner equation ⋮ On the existence of solitary wave solutions for perturbed Degasperis-Procesi equation
Cites Work
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- Transversal heteroclinic and homoclinic orbits in singular perturbation problems
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Geometric singular perturbation theory for ordinary differential equations
- Wave breaking for nonlinear nonlocal shallow water equations
- A shallow water equation as a geodesic flow on the Bott-Virasoro group
- Geodesic flow on the diffeomorphism group of the circle
- Special issue on the occasion of the 50th volume
- The existence of solitary wave solutions of delayed Camassa-Holm equation via a geometric approach
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- Geometric singular perturbation theory in biological practice
- Global existence and blow-up phenomena for the Degasperis-Procesi equation
- Sustained Resonance for a Nonlinear System with Slowly Varying Coefficients
- Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
- An integrable shallow water equation with peaked solitons
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