The limiting behavior of smooth periodic waves for the Degasperis-Procesi equation

DOI10.1016/j.physleta.2010.10.040zbMath1241.76104OpenAlexW2047920452MaRDI QIDQ430549

Lixin Tian, Xinghua Fan, Jiuli Yin

Publication date: 26 June 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.10.040

zbMATH Keywords

Degasperis-Procesi equationlimiting behaviorpeaked wavessmooth waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Solitary waves for incompressible inviscid fluids (76B25) Soliton solutions (35C08)

Related Items (1)

A view of the peakon world through the lens of approximation theory

Cites Work

• A new type of bounded waves for Degasperis-Procesi equation
• On the well-posedness of the Degasperis-Procesi equation
• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Formation and dynamics of shock waves in the Degasperis-Procesi equation
• Cusp and loop soliton solutions of short-wave models for the Camassa-Holm and Degasperis-Procesi equations
• The bifurcation and peakon for Degasperis-Procesi equation
• Bifurcations and exact bounded travelling wave solutions for a partial differential equation
• Traveling wave solutions of the Degasperis-Procesi equation
• Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
• Periodic and solitary-wave solutions of the Degasperis-Procesi equation
• Blow-up phenomenon for the integrable Degasperis-Procesi equation
• Global existence and blow-up phenomena for the Degasperis-Procesi equation
• Infinite propagation speed for the Degasperis-Procesi equation
• The N -soliton solution of the Degasperis–Procesi equation
• Wave Breaking in a Class of Nonlocal Dispersive Wave Equations
• Multi-peakon solutions of the Degasperis–Procesi equation
• Global solutions to a new integrable equation with peakons
• Stability of peakons and linear dispersion limit for the periodic Dullin–Gottwald–Holm equation
• Multisoliton solutions of the Degasperis–Procesi equation and their peakon limit

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