Analytical Solutions of Undamped and Autonomous Cubic-Quintic Duffing Equation
نویسندگان
چکیده
منابع مشابه
Analytical Solutions of Undamped and Autonomous Cubic-Quintic Duffing Equation
In this paper, based on a combination of homogenous balance and the rational expansion method, the exact analytical and closed-form solutions of the Duffing equation with cubic and quintic nonlinearities are derived. We focus on heteroclinic and homoclinic solutions which are relevant for the prediction of chaos in forced mechanical systems. The conditions of existence of these solutions which ...
متن کاملAnalytical Approximate Solutions for the Cubic-Quintic Duffing Oscillator in Terms of Elementary Functions
1 Departamento de Fı́sica, Ingenierı́a de Sistemas y Teorı́a de la Señal, Universidad de Alicante, Apartado 99, 03080 Alicante, Spain 2 Instituto Universitario de Fı́sica Aplicada a las Ciencias y las Tecnologı́as, Universidad de Alicante, Apartado 99, 03080 Alicante, Spain 3 Departamento de Ciencias Médicas, Facultad de Medicina, Universidad de Castilla-La Mancha, C/Almansa No. 14, 02006 Albacete, ...
متن کاملDuffing equations with cubic and quintic nonlinearities
In this study, an accurate analytical solution for Duffing equations with cubic and quintic nonlinearities is obtainedusing theHomotopyAnalysisMethod (HAM) andHomotopy Pade technique. Novel and accurate analytical solutions for the frequency and displacement are derived. Comparison between the obtained results andnumerical solutions shows that only the first order approximation of the Homotopy ...
متن کاملAnalytical Dark Solitary Wave Solutions for the Higher Order Nonlinear Schrödinger Equation with Cubic-quintic Terms
By means of the coupled amplitude-phase method we find analytical dark solitary wave solutions for the higher order nonlinear Schrödinger equation with cubic-quintic terms describing the effects of quintic nonlinearity on the ultra-short (femtosecond) optical soliton propagation in non-Kerr media. The dark solitary wave solution exists even for the coefficients of quintic terms much larger than...
متن کاملA non-autonomous kind of Duffing equation
We study the periodic solutions of the following kind of non-autonomous Duffing differential equation ÿ+ay− εy = εh(t, y, ẏ), with a > 0, ε a small parameter and h a C2 function in its variables.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: American Journal of Physics and Applications
سال: 2015
ISSN: 2330-4286
DOI: 10.11648/j.ajpa.20150305.11