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nlin.PSDec 22, 2011
36
citations (OpenAlex)
authors
  • Nikolay A. Kudryashov
  • Dmitry I. Sinelshchikov
  • Maria V. Demina
institutions
  • National Research Nuclear University MEPhI
arXiv abstractPDF
paper

Meromorphic exact solutions of the generalized Bretherton equation

arXiv:1112.5439 · doi:10.1016/j.physleta.2011.01.010

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.

References in corpus (3)

  • Meromorphic solutions of nonlinear ordinary differential equations
  • 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 (5)

  • On one of methods for finding exact solutions of nonlinear differential equations
  • Exact solutions of the Swift-Hohenberg equation with dispersion
  • Quasi-exact solutions of nonlinear differential equations
  • Special solutions of high order equation for waves in liquid with gas bubbles
  • Elliptic solutions for a family of fifth order nonlinear evolution equations
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