Meromorphic solutions of some algebraic differential equations related Painlevé equation IV and its applications

[1]  A. Eremenko,et al.  Meromorphic solutions of higher order Briot–Bouquet differential equations , 2007, Mathematical Proceedings of the Cambridge Philosophical Society.

[2]  Mehdi Dehghan,et al.  The numerical solution of the second Painlevé equation , 2009 .

[3]  Lishan Liu,et al.  Positive properties of the Green function for two-term fractional differential equations and its application , 2017 .

[4]  Yonghong Wu,et al.  All meromorphic solutions of an ordinary differential equation and its applications , 2016 .

[5]  Jianming Qi,et al.  The General Traveling Wave Solutions of the Fisher Equation with Degree Three , 2013 .

[6]  Yonghong Wu,et al.  All meromorphic solutions of an auxiliary ordinary differential equation and its applications , 2015 .

[7]  Wenjun Yuan,et al.  The representation of meromorphic solutions to certain ordinary differential equations and its applications , 2013 .

[8]  Bengt Fornberg,et al.  A numerical methodology for the Painlevé equations , 2011, J. Comput. Phys..

[9]  H. Koçak,et al.  Numerical study of the asymptotics of the second Painlevé equation by a functional fitting method , 2013 .

[10]  Yadong Shang,et al.  Orbital stability of solitary waves of the coupled Klein–Gordon–Zakharov equations , 2017 .

[11]  Yonghong Wu,et al.  The general traveling wave solutions of the Fisher type equations and some related problems , 2014 .

[12]  Jianming Qi,et al.  A Note about the General Meromorphic Solutions of the Fisher Equation , 2014 .

[13]  Wenjun Yuan,et al.  Meromorphic solutions of an auxiliary ordinary differential equation using complex method , 2013 .

[14]  Fushan Li.  Limit behavior of the solution to nonlinear viscoelastic Marguerre–von Kármán shallow shell system☆ , 2010 .

[15]  Masaaki Yoshida,et al.  From Gauss to Painlevé , 1991 .

[16]  F. Meng,et al.  Oscillation criteria for forced second-order nonlinear differential equations with damping , 2009 .

[17]  W. Yuan,et al.  The general solutions of an auxiliary ordinary differential equation using complex method and its applications , 2014, Advances in Difference Equations.

[18]  Esmail Hesameddini,et al.  Homotopy analysis method to obtain numerical solutions of the Painlevé equations , 2012 .

[19]  Yusuke Ikawa.  Hypergeometric Solutions for the q-Painlevé Equation of Type $${E^{(1)}_6}$$ by the Padé Method , 2012, 1207.6446.

[20]  Yonghong Wu,et al.  Positive solutions to singular fractional differential system with coupled boundary conditions , 2013, Commun. Nonlinear Sci. Numer. Simul..

[21]  F. Lebon,et al.  A global existence and uniqueness result for a stochastic Allen–Cahn equation with constraint , 2017 .

[22]  Robert Conte,et al.  Elliptic General Analytic Solutions , 2009, 0903.2009.

[23]  Nikolai A. Kudryashov,et al.  Meromorphic solutions of nonlinear ordinary differential equations , 2010, 1201.0126.