On Integrability of Christouâ€™s Sixth Order Solitary Wave Equations

M. Allami

doi:10.24996/ijs.2019.60.5.25

Authors

M. Allami Department of Mathematics, College of Education, Misan University, Misan, Iraq

DOI:

https://doi.org/10.24996/ijs.2019.60.5.25

Keywords:

PainlevÃ¨ analysis, Integrability, Sixth order solitary wave equations, PainlevÃ¨ property, Wiess, Tabor and Carnevale approach, Kruskalâ€™s simplification

Abstract

We examine the integrability in terms of PainlevÃ¨ 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 PainlevÃ¨ property and fail the PainlevÃ¨ test for some special values of the coefficients; and that indicates a non-integrability criteria of the equations by means of the PainlevÃ¨ integrability.