N Soliton Solutions to The Bogoyavlenskii-Schiff Equation and A Quest for The Soliton Solution in (3 + 1) Dimensions

(2)Japan Atomic Energy Research Institute); K. Toda(1); N. Sasa(2); T. Fukuyama(1)((1)Ritsumeikan Univ.; Yu. S.J(1)

arxiv: solv-int/9801003 · v1 · submitted 1998-01-03 · solv-int · nlin.SI

N Soliton Solutions to The Bogoyavlenskii-Schiff Equation and A Quest for The Soliton Solution in (3 + 1) Dimensions

Yu. S.J(1) , K. Toda(1) , N. Sasa(2) , T. Fukuyama(1)((1)Ritsumeikan Univ. , (2)Japan Atomic Energy Research Institute) This is my paper

classification solv-int nlin.SI

keywords dimensionsequationsolitonbogoyavlenskii-schiffformsolutionanalyticalbilinear

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We study the integrable systems in higher dimensions which can be written not by the Hirota's bilinear form but by the trilinear form. We explicitly discuss about the Bogoyavlenskii-Schiff(BS) equation in (2 + 1) dimensions. Its analytical proof of multi soliton solution and a new feature are given. Being guided by the strong symmetry, we also propose a new equation in (3 + 1) dimensions.

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N Soliton Solutions to The Bogoyavlenskii-Schiff Equation and A Quest for The Soliton Solution in (3 + 1) Dimensions

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