English

Explicit expressions for meromorphic solution of autonomous nonlinear ordinary differential equations

Pattern Formation and Solitons 2011-12-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1112.5445,
  title  = {Explicit expressions for meromorphic solution of autonomous nonlinear ordinary differential equations},
  author = {Maria V. Demina and Nikolay A. Kudryashov},
  journal= {arXiv preprint arXiv:1112.5445},
  year   = {2011}
}
R2 v1 2026-06-21T19:56:05.629Z