TY  - EJOU
AU  - Chiroiu, Veturia  
AU  - Ursu, Ioan  
AU  - Munteanu, Ligia  
AU  - Sireteanu, Tudor  

TI  - On the KP Equation with Hysteresis
T2  - Fluid Dynamics \& Materials Processing

PY  - 2012
VL  - 8
IS  - 1
SN  - 1555-2578

AB  - 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.
KW  - KP equation
KW  -  chaotic hysteresis
KW  -  Hirota bilinear method
KW  -  dilaton
KW  -  nonlinear semigroup theory

DO  - 10.3970/fdmp.2011.008.091