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Unfamiliar Aspects of B\"acklund Transformations and an Associated Degasperis-Procesi Equation

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arxiv 1710.05539 v1 pith:NKXW7DAK submitted 2017-10-16 nlin.SI math-phmath.MP

Alexander Rasin , Jeremy Schiff This is my paper · ORCID
classification nlin.SImath-phmath.MP
keywords equationacklundassociateddegasperis-procesiinfinitesimalprinciplesuperpositionsymmetries
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We summarize the results of our recent work on B\"acklund transformations (BTs), particularly focusing on the relationship of BTs and infinitesimal symmetries. We present a BT for an associated Degasperis-Procesi (aDP) equation and its superposition principle, and investigate the solutions generated by application of this BT. Following our general methodology, we use the superposition principle of the BT to generate the infinitesimal symmetries of the aDP equation.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Integrable Deformation of Space Curves, Generalized Heisenberg Ferromagnet Equation and Two-Component Modified Camassa-Holm Equation

    nlin.SI 2019-08 reject novelty 4.0 of 10

    The paper asserts a geometric equivalence between the M-CV and 2-mCHE equations via space curve flows, but the derivation is an ansatz and the gauge equivalence is unpublished.

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