Title of article
Note on an extension of the CDF equation to (2 + 1) dimensions
Author/Authors
Toda، نويسنده , , Kouichi and Yu، نويسنده , , Kouichi and Song-Ju، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
8
From page
255
To page
262
Abstract
The Calogero—Degasperis—Fokas (CDF) equation is a (1 + 1)-dimensional integrable equation. We extend the CDF equation to (2+1) dimensions by a dimensional extension of the Lax pair. As a result, the higher-dimensional CDF equation and another higher dimensional equation are constructed. The Painlevé properties and (2 + 1)-dimensional traveling solitary solutions for the higher-dimensional equations obtained are also briefly reported. Moreover, the (2 + 1)-dimensional CDF equation can be reduced to some integrable equations.
Keywords
Calogero—Degasperis—Fokas equation , Painlevé test , (2 + 1)-dimensional traveling soliton , extension of Lax pair to (2 + 1) dimensions
Journal title
Reports on Mathematical Physics
Serial Year
2001
Journal title
Reports on Mathematical Physics
Record number
1584744
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