An inverse problem for the modified Camassa-Holm equation and multi-point Pad\'{e} approximants
classification
🌊 nlin.SI
math-phmath.APmath.CAmath.MPmath.NA
keywords
inversecamassa-holmequationmodifiedmulti-pointproblemapproximantsapproximations
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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 Pad\'{e} approximations.
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