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Publication Date
Sun May 26 2019
Journal Name
Iraqi Journal Of Science
Volume
60
Issue Number
5
DOI
10.24996/ijs.2019.60.5.25
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ijs-881
On Integrability of Christou’s Sixth Order Solitary Wave Equations
Painlevè analysis
Integrability
Sixth order solitary wave equations
Painlevè property
Wiess
Tabor and Carnevale approach
Kruskal’s simplification
M.
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We examine the integrability in terms of Painlevè analysis for several models of higher order nonlinear solitary wave equations which were recently derived by Christou. Our results point out that these equations do not possess Painlevè property and fail the Painlevè test for some special values of the coefficients; and that indicates a non-integrability criteria of the equations by means of the Painlevè integrability.

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