Ong, Chee Tiong and Tiong, Wei King and Mohamad, Mohd. Nor and Abd. Aziz, Zainal and Kamis, Ismail
(2004)
*Kadomtsev-Petviashvili (Kp) nonlinear waves identification.*
Project Report.
Universiti Teknologi Malaysia.
(Unpublished)

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## Abstract

By observing the periodic hexagonal pattern of surface waves in a large basin namely the MOB (Manoevering Ocean Basin) various solitons interactions patterns were observed due to the repetition of the interaction patterns of two Kadomtsev- Petviashvili (KP) solitons. This research is a systematic and comprehensive study on the Kadomtsev-Petviashvili (KP) equation. In particular the KP equation is the two dimensional form of the Korteweg-de Vries (KdV) equation. Soliton solutions of the KP equation using Hirota Bilinear method was adopted in this research. Two-soliton solutions of the KP equation can produce a triad, quadruplet and a non-resonance structures. In three-soliton solutions of the KP equation, many other interaction patterns can be observed. For example, a triad with a soliton and a quadruplet with a soliton. A computer program, KPPRO was developed using Microsoft Visual C++ to simulate various interactions patterns.

Item Type: | Monograph (Project Report) |
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Uncontrolled Keywords: | surface waves, interaction patterns, Kadomtsev- Petviashvili (KP) solitons |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 2799 |

Deposited By: | Nor Azlin Nordin |

Deposited On: | 21 May 2007 07:01 |

Last Modified: | 02 May 2012 04:59 |

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