Camassa-Holm cuspons, solitons and their interactions via the dressing method
arXiv:1908.00980 · doi:10.1007/s00332-019-09572-1
Abstract
A dressing method is applied to a matrix Lax pair for the Camassa-Holm equation, thereby allowing for the construction of several global solutions of the system. In particular solutions of system of soliton and cuspon type are constructed explicitly. The interactions between soliton and cuspon solutions of the system are investigated. The geometric aspects of the Camassa-Holm equation ar re-examined in terms of quantities which can be explicitly constructed via the inverse scattering method.
arXiv comment35 pages, 10 figures. arXiv admin note: text overlap with arXiv:1702.01128
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Cited by in corpus (3)
- NLS-type equations from quadratic pencil of Lax operators: negative flows
- Integrable negative flows of the Heisenberg ferromagnet equation hierarchy
- On new classes of explicit solutions of Dirac, dynamical Dirac and Dirac--Weyl systems with non-vanishing at infinity potentials, their properties and applications