Dynamics of poles of elliptic solutions to the BKP equation
arXiv:1903.00968 · doi:10.1088/1751-8121/ab63a8
Abstract
We derive equations of motion for poles of elliptic solutions to the B-version of the Kadomtsev-Petviashvili equation (BKP). The basic tool is the auxiliary linear problem for the Baker-Akhiezer function. We also discuss integrals of motion for the pole dynamics which follow from the equation of the spectral curve.
arXiv comment18 pages, introduction expanded, references added
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Cited by in corpus (7)
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- Characteristic determinant and Manakov triple for the double elliptic integrable system
- How Calogero-Moser particles can stick together
- Monodromy free linear equations and many-body systems
- Elliptic solutions of the Toda lattice with constraint of type B and deformed Ruijsenaars-Schneider system
- On solutions to a novel non-evolutionary integrable 1+1 PDE