53 research outputs found
Explicit expressions for meromorphic solution of autonomous nonlinear ordinary differential equations
Meromorphic solutions of autonomous nonlinear ordinary differential equations
are studied. An algorithm for constructing meromorphic solutions in explicit
form is presented. General expressions for meromorphic solutions (including
rational, periodic, elliptic) are found for a wide class of autonomous
nonlinear ordinary differential equations
On Completely Integrability Systems of Differential Equations
In this note we discuss the approach which was given by Wazwaz for the proof
of the complete integrability to the system of nonlinear differential
equations. We show that his method presented in [Wazwaz A.M. Completely
integrable coupled KdV and coupled KP systems, Commun Nonlinear Sci Simulat 15
(2010) 2828-2835] is incorrect.Comment: 14 pages. This paper was sent to the Communications in Nonlinear
Science and Numerical Simulatio
- …