Lax Integrability of the Modified Camassa-Holm Equation and the Concept of Peakons
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Publication:5231045
DOI10.1080/14029251.2016.1248156zbMath1420.35066arXiv1610.06537OpenAlexW2530073120MaRDI QIDQ5231045
Xiang-Ke Chang, Jacek Szmigielski
Publication date: 29 August 2019
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.06537
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) Soliton equations (35Q51) Weak solutions to PDEs (35D30)
Related Items (8)
Hamiltonian structure of peakons as weak solutions for the modified Camassa-Holm equation ⋮ Moment modification, multipeakons, and nonisospectral generalizations ⋮ An integrable semidiscretization of the modified Camassa–Holm equation with linear dispersion term ⋮ On conservative sticky peakons to the modified Camassa-Holm equation ⋮ Lax integrability and the peakon problem for the modified Camassa-Holm equation ⋮ Liouville Integrability of Conservative Peakons for a Modified CH equation ⋮ A view of the peakon world through the lens of approximation theory ⋮ The modified Camassa–Holm equation: Bäcklund transformation and nonlinear superposition formula
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