On elliptic solutions of nonlinear ordinary differential equations

Abstract

The generalized Bretherton equation is studied. The classification of the meromorphic traveling wave solutions for this equation is presented. All possible exact solutions of the generalized Brethenton equation are given.

9 pages

References in corpus (2)

• From Laurent Series to Exact Meromorphic Solutions: the Kawahara equation
• Explicit expressions for meromorphic solution of autonomous nonlinear ordinary differential equations

Cited by in corpus (3)

• The fifth-order partial differential equation for the description of the α+β Fermi-Pasta-Ulam model
• Multi-particle dynamical systems and polynomials
• Elliptic solutions for a family of fifth order nonlinear evolution equations