Open Access

ARTICLE

On the KP Equation with Hysteresis

Veturia Chiroiu¹, Ioan Ursu², Ligia Munteanu³, Tudor Sireteanu⁴

1 Institute of Solid Mechanics of Romanian Academy, Ctin Mille 15, 010141 Bucharest
2 National Institute for Aerospace Research Elie Carafoli, B-dul Iuliu Maniu 220, 061126 Bucharest
3 Institute of Solid Mechanics of Romanian Academy, Ctin Mille 15, 010141 Bucharest
4 Institute of Solid Mechanics of Romanian Academy, Ctin Mille 15, 010141 Bucharest

Fluid Dynamics & Materials Processing 2012, 8(1), 91-106. https://doi.org/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.

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Keywords

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