An inverse problem for the modified Camassa-Holm equation and multi-point Padé approximants

2015/12/28 by Xiang‐Ke Chang, Chang, Xiangke, Jacek Szmigielski +1
Mathematics · Physics and Astronomy · #34B05 #34K29 #35Q51 #35Q53 #37J35 #41A21 #Algebraic structures and combinatorial models #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1512.08303

openalex publication_date 2015/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this Letter the main steps in the inverse spectral construction of a family of non-smooth solitons (peakons) to the modified Camassa-Holm equation are oulined. It is shown that the inverse problem is solvable in terms of multi-point Padé approximations.

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