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Solitons and peaked solitons for the general Degasperis-Procesi model
Published 2 Jun 2018 in math.AP | (1806.01927v1)
Abstract: We consider the general Degasperis-Procesi model of shallow water out-flows. This six parametric family of conservation laws contains, in particular, KdV, Benjamin-Bona-Mahony, Camassa-Holm, and Degasperis-Procesi equations. The main result consists of criterions which guarantee the existence of solitary wave solutions: solitons and peakons ("peaked solitons").
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