Analytic solution to the generalized complex Duffing equation and its application in soliton theory. Issue 13 (3rd October 2021)

• Record Type: Journal Article
• Authors: Salas, Alvaro H. S.
• Is Part Of: Applicable analysis. Volume 100:Issue 13(2021)
• Page Start: 2867
• Page End: 2872
• Publication Date: 2021-10-03
• Subjects: Jacobi elliptic function -- elliptic modulus -- Duffing oscillator -- cubic nonlinearity -- exact solutions -- approximate solutions -- free vibrations -- forced vibrations -- Parametric vibrations -- chaos; 34Axx; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2019.1698729
• Languages: English
• ISSNs: 0003-6811

Abstract

ABSTRACT: In this paper, we give the analytical solution to the generalized Duffing equation with complex coefficients subjected to an arbitrary given initial conditions. We provide the solution in terms of the famous Weierstrass elliptic function. This solution is used to obtain the flow of the dynamical system associated to Duffing equation. We illustrate the obtained results by means of applications in Soliton Theory.