All meromorphic solutions of some algebraic differential equations and their applications

DOI10.1186/1687-1847-2014-105zbMath1351.34103OpenAlexW2162239181WikidataQ59323868 ScholiaQ59323868MaRDI QIDQ738584

Ye-Zhou Li, Jian-Ming Qi, Wen-Jun Yuan

Publication date: 5 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-105

zbMATH Keywords

exact solutiondifferential equationmeromorphic functionelliptic function

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Explicit solutions, first integrals of ordinary differential equations (34A05) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Cites Work

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• Bifurcations of travelling wave solutions for \((2 + 1)\)-dimensional Boussinesq-type equation
• Travelling wave solutions for a class of nonlinear fourth order variant of a generalized Camassa-Holm equation
• Travelling wave solutions for a class of generalized KdV equation
• Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
• Traveling wave solutions for a class of nonlinear dispersive equations
• Solitary wave solutions for variant Boussinesq equations
• Bifurcations of travelling wave solutions for the generalized double sinh-Gordon equation
• Meromorphic solutions of higher order Briot–Bouquet differential equations
• Elliptic General Analytic Solutions
• The tanh method: I. Exact solutions of nonlinear evolution and wave equations
• The representation of meromorphic solutions to certain ordinary differential equations and its applications
• Meromorphic solutions of a third order nonlinear differential equation

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