Exponential decay and symmetry of solitary waves to Degasperis-Procesi equation

DOI10.1016/j.jde.2020.05.047zbMath1442.35398arXiv1901.06718OpenAlexW3034445956MaRDI QIDQ778187

Long Pei

Publication date: 2 July 2020

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

Full work available at URL: https://arxiv.org/abs/1901.06718

zbMATH Keywords

symmetryexponential decaynonlocalDegasperis-Procesihighest solitary waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Fourier integral operators applied to PDEs (35S30) Solitary waves in solid mechanics (74J35) Traveling wave solutions (35C07) Soliton solutions (35C08) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (10)

Symmetry of Periodic Traveling Waves for Nonlocal Dispersive Equations ⋮ Global bifurcation of solitary waves for the Whitham equation ⋮ On traveling waves of the quadratic-cubic Degasperis-Procesi equation ⋮ Decay of solitary waves of fractional Korteweg-de Vries type equations ⋮ Existence and decay of traveling waves for the nonlocal Gross–Pitaevskii equation ⋮ Existence, regularity and symmetry of periodic traveling waves for Gardner-Ostrovsky type equations ⋮ On the regularity and symmetry of periodic traveling solutions to weakly dispersive equations with cubic nonlinearity ⋮ Symmetric waves are traveling waves of some shallow water scalar equations ⋮ Symmetric waves are traveling waves for the rotation-Camassa-Holm equation ⋮ A view of the peakon world through the lens of approximation theory

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