Open AccessOn Integrability of Christou’s Sixth Order Solitary Wave Equations
Author(s) -
Mohammed Allami
Publication year - 2019
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2019.60.5.25
Subject(s) - mathematics , order (exchange) , nonlinear system , point (geometry) , mathematical analysis , property (philosophy) , mathematical physics , physics , geometry , quantum mechanics , philosophy , finance , epistemology , economics
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.