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Hirota-sato formalism via maya diagrams on KP, KdV and S-K equations

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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Abstract

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

Item Type:Article
Subjects:Q Science
Divisions:Science
ID Code:30506
Deposited By: Liza Porijo
Deposited On:10 Feb 2014 12:33
Last Modified:13 Oct 2017 21:59

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