Alice-Bob Peakon Systems

Abstract

In this letter, we study the Alice-Bob peakon system generated from an integrable peakon system through using the strategy of the so-called Alice-Bob non-local KdV approach [13]. Non-local integrable peakon equations are obtained and shown to have peakon solutions.

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References in corpus (4)

• An integrable shallow water equation with peaked solitons
• Alice-Bob Physics: Coherent Solutions of Nonlocal KdV Systems
• Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary pde
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Cited by in corpus (8)

• Alice-Bob systems, $P_s$-$T_d$-$C$ principles and multi-soliton solutions
• Darboux transformations and global explicit solutions for nonlocal Davey-Stewartson I equation
• Prohibitions caused by nonlocality for Alice-Bob Boussinesq-KdV type systems
• Coherent structure of Alice-Bob modified Korteweg de-Vries Equation
• A view of the peakon world through the lens of approximation theory
• Integrable nonlinear Klein-Gordon systems with $\mathcal{P}\mathcal{T}$ nonlocality and/or space-time exchange nonlocality
• On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system
• On the well-posedness of the Cauchy problem for the two-component peakon system in $C^k\cap W^{k,1}$