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    On the KP Equation with Hysteresis

    Veturia Chiroiu1, Ioan Ursu2, Ligia Munteanu3, Tudor Sireteanu4

    FDMP-Fluid Dynamics & Materials Processing, Vol.8, No.1, pp. 91-106, 2012, DOI:10.3970/fdmp.2011.008.091

    Abstract The Kadomtsev-Petviashvili (KP) equation describes the evolution of nonlinear, long waves of small amplitude with slow dependence on the transverse coordinate. The KP equation coupled with the generalized play operator is studied in this paper in order to explain the dilatonic behavior of the soliton interaction and the generation of huge waves in shallow waters. Hirota bilinear method and results from a nonlinear semigroup theory are applied to simulate the resonant soliton interactions. More >

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