Open AccessGeneralized Weierstrass Integrability of a Class of Second-order Nonlinear Differential Equations
Author(s) -
Xin Zhao,
Yanxia Hu
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2021/v17i330286
Subject(s) - mathematics , inverse , nonlinear system , class (philosophy) , weierstrass functions , order (exchange) , mathematical analysis , differential equation , computer science , physics , geometry , finance , quantum mechanics , artificial intelligence , economics
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.