2010Zenodo (CERN European Organization for Nuclear Research)Open access

New Application Of Ehta For The Generalized(2+1)-Dimensional Nonlinear Evolution Equations

M.T. Darvishi, Maliheh Najafi, Mohammad Najafi

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Abstract

In this paper, the generalized (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (shortly CBS) equations are investigated. We employ the Hirota-s bilinear method to obtain the bilinear form of CBS equations. Then by the idea of extended homoclinic test approach (shortly EHTA), some exact soliton solutions including breather type solutions are presented.

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What this paper is about

In this paper, the generalized (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (shortly CBS) equations are investigated. We employ the Hirota-s bilinear method to obtain the bilinear form of CBS equations. Then by the idea of extended homoclinic test approach (shortly EHTA), some exact soliton solutions including breather type solutions are presented.

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Available abstract

In this paper, the generalized (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (shortly CBS) equations are investigated. We employ the Hirota-s bilinear method to obtain the bilinear form of CBS equations. Then by the idea of extended homoclinic test approach (shortly EHTA), some exact soliton solutions including breather type solutions are presented.

Key concepts: Bilinear interpolation, Homoclinic orbit, Mathematics, Bilinear form, Nonlinear system, Soliton, Breather, Mathematical physics

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