2011Yingyong shuxue yu jisuan shuxue xuebaoRequires access

Searching for multi-soliton solution to generalized Caudrey-Dodd-Gibbon-Kaeada equation with homogeneous balance method

Tiecheng Xia

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Abstract

The homogeneous balance method is used to obtain the Hirota transformation which transforms the equation into the Hirota bilinear form,and the relation between these two methods is explained.The results show that there exists a general method which transforms some soliton equations into Hirota bilinear forms.

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What this paper is about

The homogeneous balance method is used to obtain the Hirota transformation which transforms the equation into the Hirota bilinear form,and the relation between these two methods is explained.The results show that there exists a general method which transforms some soliton equations into Hirota bilinear forms.

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Available abstract

The homogeneous balance method is used to obtain the Hirota transformation which transforms the equation into the Hirota bilinear form,and the relation between these two methods is explained.The results show that there exists a general method which transforms some soliton equations into Hirota bilinear forms.

Key concepts: Mathematics, Bilinear interpolation, Homogeneous, Bilinear form, Transformation (genetics), Balance (ability), Soliton, Applied mathematics

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