Meromorphic solutions of nonlinear ordinary differential equations

Details Meromorphic solutions of nonlinear ordinary differential equations Meromorphic solutions of nonlinear ordinary differential equations

2011-12-30

arxiv.org/abs/1201.0126v1

Communications in Nonlinear Science and Numerical Simulation, 2010, V. 15, P. 2778-2790

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.1016/j.cnsns.2009.11.013

Exact solutions of some popular nonlinear ordinary differential equations are analyzed taking their Laurent series into account. Using the Laurent series for solutions of nonlinear ordinary differential equations we discuss the nature of many methods for finding exact solutions. We show that most of these methods are conceptually identical to one another and they allow us to have only the same solutions of nonlinear ordinary differential equations.

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