Explicit expressions for meromorphic solution of autonomous nonlinear ordinary differential equations

Details Explicit expressions for meromorphic solution of autonomous nonlinear ordinary differential equations Explicit expressions for meromorphic solution of autonomous nonlinear ordinary differential equations

2011-12-22

arxiv.org/abs/1112.5445v1

Communications in Nonlinear Science and Numerical Simulation, 2011, Volume 16, Issue 3, p. 1127-1134

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1016/j.cnsns.2010.06.035

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.

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