Generalized Weierstrass Integrability of a Class of Second-order Nonlinear Differential Equations
Xin Zhao
School of Mathematics and Physics, North China Electric Power University, Beijing, 102206, China
Yanxia Hu *
School of Mathematics and Physics, North China Electric Power University, Beijing, 102206, China.
*Author to whom correspondence should be addressed.
Abstract
The generalized Weierstrass integrability of a class of second-order nonlinear differential equations is considered. The conditions of existence and the corresponding expressions of generalized Weierstrass inverse integrating factors of the second-order nonlinear differential equation are presented. The relationship between the generalized Weierstrass inverse integrating factors and the Weierstrass inverse integrating factors is given. Finally, as an application of the main results, a Kudryashov-Sinelshchikov equation for obtaining traveling wave solutions is considered.
Keywords: Nonlinear differential equation, Generalized Weierstrass integrability, Weierstrass inverse integral factor