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01051 am a22001453u 4500 |
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30506 |
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|a Ali, Noor Aslinda
|e author
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|a Abdul Aziz, Zainal
|e author
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|a Hirota-sato formalism via maya diagrams on KP, KdV and S-K equations
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|c 2012.
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|z Get fulltext
|u http://eprints.utm.my/id/eprint/30506/1/ZainalAbdulAziz2012_HirotaSatoFormalismViaMaya.pdf
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|a 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
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|a Q Science
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