Constructing exact solutions to soliton equation by computer algebraic

Zhen Wang; Li Zou

Constructing exact solutions to soliton equation by computer algebraic

Zhen Wang^*
, Li Zou

^*此作品的通讯作者

Dalian University of Technology
National University of Singapore

科研成果: 书/报告/会议事项章节 › 章节 › 同行评审

摘要

In this chapter, we will give a model of constructing exact solutions to nonlinear partial differential equations(NPDE) by constructing a differential ring and its derivative. We could give more and more general exact solutions to given NPDE through the enlargement of constructed differential ring. The exact solutions to given NPDE can be expressed by the base of constructed differential ring, the expression order is also can be determined by this model. It is shown that the expression order is not only related to the given NPDE, but also related to the derivative on the differential equation, i.e. the targeted equation.

源语言	英语
主期刊名	Handbook of Solitons
主期刊副标题	Research, Technology and Applications
出版商	Nova Science Publishers, Inc.
页	441-499
页数	59
ISBN（印刷版）	9781606925966
出版状态	已出版 - 1 10月 2009
已对外发布	是

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KW - Differential polynomial ring

KW - Expression order

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KW - Soliton

KW - Symbolic computation

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Constructing exact solutions to soliton equation by computer algebraic

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