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On the KP Equation with Hysteresis
Institute of Solid Mechanics of Romanian Academy, Ctin Mille 15, 010141 Bucharest
National Institute for Aerospace Research Elie Carafoli, B-dul Iuliu Maniu 220, 061126 Bucharest
Institute of Solid Mechanics of Romanian Academy, Ctin Mille 15, 010141 Bucharest
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
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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.Keywords
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APA Style
Chiroiu, V., Ursu, I., Munteanu, L., Sireteanu, T. (2012). On the KP equation with hysteresis. Fluid Dynamics & Materials Processing, 8(1), 91-106. https://doi.org/10.3970/fdmp.2011.008.091
Vancouver Style
Chiroiu V, Ursu I, Munteanu L, Sireteanu T. On the KP equation with hysteresis. Fluid Dyn Mater Proc. 2012;8(1):91-106 https://doi.org/10.3970/fdmp.2011.008.091
IEEE Style
V. Chiroiu, I. Ursu, L. Munteanu, and T. Sireteanu, “On the KP Equation with Hysteresis,” Fluid Dyn. Mater. Proc., vol. 8, no. 1, pp. 91-106, 2012. https://doi.org/10.3970/fdmp.2011.008.091
Copyright © 2012 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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