Article ID Journal Published Year Pages File Type
473289 Computers & Mathematics with Applications 2011 7 Pages PDF
Abstract

In this paper, the Painlevé test is performed for a new two-component Korteweg–de Vries (KdV) equation proposed by Foursov. It is shown that this equation passes the integrability test and is P-integrable. By means of the truncated singular expansion, some explicit solutions from the trivial zero solution are derived. The phenomena of soliton fission and fusion are studied in detail.

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Physical Sciences and Engineering Computer Science Computer Science (General)
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Soliton fission and fusion of a new two-component Korteweg–de Vries (KdV) equation
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