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On elliptic solutions of nonlinear ordinary differential equations
Authors:Maria V. DeminaNikolai A. Kudryashov
Affiliation:Department of Applied Mathematics, National Research Nuclear University, “MEPhI”, 31 Kashirskoe Shosse, 115409 Moscow, Russian Federation
Abstract:The problem of constructing and classifying exact elliptic solutions of autonomous nonlinear ordinary differential equations is studied. An algorithm for finding elliptic solutions in explicit form is presented.
Keywords:Elliptic solutions   Periodic solutions   Meromorphic solutions   Nonlinear ordinary differential equations
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