Kadomtsev-Petviashvili (Kp) nonlinear waves identification
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 an...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Monograph |
| Language: | en |
| Published: |
Universiti Teknologi Malaysia
2004
|
| Subjects: | |
| Online Access: | http://eprints.utm.my/2799/1/75023.pdf http://eprints.utm.my/2799/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1845470761075081216 |
|---|---|
| author | Ong, Chee Tiong Tiong, Wei King Mohamad, Mohd. Nor Abd. Aziz, Zainal Kamis, Ismail |
| author_facet | Ong, Chee Tiong Tiong, Wei King Mohamad, Mohd. Nor Abd. Aziz, Zainal Kamis, Ismail |
| author_sort | Ong, Chee Tiong |
| building | UTM Library |
| collection | Institutional Repository |
| content_provider | Universiti Teknologi Malaysia |
| content_source | UTM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | 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.
|
| format | Monograph |
| id | my.utm.eprints-2799 |
| institution | Universiti Teknologi Malaysia |
| language | en |
| publishDate | 2004 |
| publisher | Universiti Teknologi Malaysia |
| record_format | eprints |
| spelling | my.utm.eprints-27992012-05-02T04:59:39Z http://eprints.utm.my/2799/ Kadomtsev-Petviashvili (Kp) nonlinear waves identification Ong, Chee Tiong Tiong, Wei King Mohamad, Mohd. Nor Abd. Aziz, Zainal Kamis, Ismail QA Mathematics 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. Universiti Teknologi Malaysia 2004-09-30 Monograph NonPeerReviewed application/pdf en http://eprints.utm.my/2799/1/75023.pdf 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) |
| spellingShingle | QA Mathematics Ong, Chee Tiong Tiong, Wei King Mohamad, Mohd. Nor Abd. Aziz, Zainal Kamis, Ismail Kadomtsev-Petviashvili (Kp) nonlinear waves identification |
| title | Kadomtsev-Petviashvili (Kp) nonlinear waves identification
|
| title_full | Kadomtsev-Petviashvili (Kp) nonlinear waves identification
|
| title_fullStr | Kadomtsev-Petviashvili (Kp) nonlinear waves identification
|
| title_full_unstemmed | Kadomtsev-Petviashvili (Kp) nonlinear waves identification
|
| title_short | Kadomtsev-Petviashvili (Kp) nonlinear waves identification
|
| title_sort | kadomtsev-petviashvili (kp) nonlinear waves identification |
| topic | QA Mathematics |
| url | http://eprints.utm.my/2799/1/75023.pdf http://eprints.utm.my/2799/ |
| url_provider | http://eprints.utm.my/ |