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the M-CV and 2-mCHE equations via space curve flows, but the derivation is an ansatz and the gauge equivalence is unpublished.
Unfamiliar Aspects of B\"acklund Transformations and an Associated Degasperis-Procesi Equation
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abstract
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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nlin.SI 1years
2019 1verdicts
REJECT 1representative citing papers
citing papers explorer
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Integrable Deformation of Space Curves, Generalized Heisenberg Ferromagnet Equation and Two-Component Modified Camassa-Holm Equation
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the M-CV and 2-mCHE equations via space curve flows, but the derivation is an ansatz and the gauge equivalence is unpublished.