Interior inverse problem for global conservative multipeakon solutions of the Camassa-Holm equation

2023/12/04 by Tao Liu, Liu, Tao, Kang Lyu +1 · 1 citation
Mathematics · Physics and Astronomy · #34A55 #34B07 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Primary: 37K10 #Secondary: 34B09 #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.2312.01876

openalex publication_date 2023/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the interior inverse problem associated with the global conservative multipeakon solution of the Camassa-Holm equation. Based on the inverse spectral theory on the half-line and the oscillation property of eigenfunctions, some (non)uniqueness results of the interior inverse problem are obtained. In addition, we give the trace formula, which connects the global conservative multipeakon solution with the corresponding eigenvalues and normalized eigenfunctions.

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