The first integrals of second order ordinary differential equations are considered. The necessary conditions of the existence of analytical first integrals for the equation are presented. Then, the first integrals of the equation are obtained using Lie symmetry method. The result...
Open access
Research Article10.9734/ajrcos/2019/v3i330095
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 equ...
Open access
Research Article10.9734/arjom/2021/v17i330286
In this paper, the generalized KP-BBM equation is considered. The G′ / G-expansion method and the first integral method are applied to integrate the equation. By means of the two methods, the rational solutions, the periodic solutions and the hyperbolic function solutions are thu...
Open access
Research Article10.9734/ajr2p/2018/v1i124593