Hirota-sato formalism via maya diagrams on KP, KdV and S-K equations
This article illustrates Hirota-Sato formalism by establishing that Hirota’s direct method is derivable from Sato theory. This formalism is considered via Maya diagrams and used to describe the Kadomtsev-Petviashvili (KP), Korteweg-de Vries (KdV) and Sawada-Kotera (S-K) equations. This is done by ex...
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my.utm.305062017-10-13T13:59:45Z http://eprints.utm.my/id/eprint/30506/ Hirota-sato formalism via maya diagrams on KP, KdV and S-K equations Ali, Noor Aslinda Abdul Aziz, Zainal Q Science This article illustrates Hirota-Sato formalism by establishing that Hirota’s direct method is derivable from Sato theory. This formalism is considered via Maya diagrams and used to describe the Kadomtsev-Petviashvili (KP), Korteweg-de Vries (KdV) and Sawada-Kotera (S-K) equations. This is done by expressing the Hirota bilinear forms of KP, KdV and S-K equations in terms of Maya diagrams. These results are then shown to be closely linked to the Plucker relations in Sato theory. Thus Hirota-Sato formalism via this conceptual framework provides a deeper understanding of soliton theory from a unified viewpoint 2012 Article NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/30506/1/ZainalAbdulAziz2012_HirotaSatoFormalismViaMaya.pdf Ali, Noor Aslinda and Abdul Aziz, Zainal (2012) Hirota-sato formalism via maya diagrams on KP, KdV and S-K equations. Jurnal KALAM (Jurnal Karya Asli Lorekan Ahli Matematik) . ISSN 1985-5222 |
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Q Science Ali, Noor Aslinda Abdul Aziz, Zainal Hirota-sato formalism via maya diagrams on KP, KdV and S-K equations |
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This article illustrates Hirota-Sato formalism by establishing that Hirota’s direct method is derivable from Sato theory. This formalism is considered via Maya diagrams and used to describe the Kadomtsev-Petviashvili (KP), Korteweg-de Vries (KdV) and Sawada-Kotera (S-K) equations. This is done by expressing the Hirota bilinear forms of KP, KdV and S-K equations in terms of Maya diagrams. These results are then shown to be closely linked to the Plucker relations in Sato theory. Thus Hirota-Sato formalism via this conceptual framework provides a deeper understanding of soliton theory from a unified viewpoint |
| format |
Article |
| author |
Ali, Noor Aslinda Abdul Aziz, Zainal |
| author_facet |
Ali, Noor Aslinda Abdul Aziz, Zainal |
| author_sort |
Ali, Noor Aslinda |
| title |
Hirota-sato formalism via maya diagrams on KP, KdV and S-K equations |
| title_short |
Hirota-sato formalism via maya diagrams on KP, KdV and S-K equations |
| title_full |
Hirota-sato formalism via maya diagrams on KP, KdV and S-K equations |
| title_fullStr |
Hirota-sato formalism via maya diagrams on KP, KdV and S-K equations |
| title_full_unstemmed |
Hirota-sato formalism via maya diagrams on KP, KdV and S-K equations |
| title_sort |
hirota-sato formalism via maya diagrams on kp, kdv and s-k equations |
| publishDate |
2012 |
| url |
http://eprints.utm.my/id/eprint/30506/1/ZainalAbdulAziz2012_HirotaSatoFormalismViaMaya.pdf http://eprints.utm.my/id/eprint/30506/ |
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