ANALYTICAL SOLUTION OF THE FRACTAL CUBIC–QUINTIC DUFFING EQUATION

DOI10.1142/S0218348X21500808zbMath1489.34002OpenAlexW3113643566MaRDI QIDQ5023952

Oscar Martínez-Romero, Alex Elías-Zúñiga, Isaac H. Jiménez-Cedeño, Daniel Olvera Trejo, Luis Manuel Palacios-Pineda

Publication date: 28 January 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21500808

zbMATH Keywords

solitonsJacobian elliptic functionscubic-quintic nonlinear Duffing equationtwo-scale dimension transform

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Elliptic functions and integrals (33E05) Fractional ordinary differential equations (34A08)

Related Items (7)

An efficient approach to converting the damping fractal models to the traditional system ⋮ Numerical solutions of the fractal foam drainage equation ⋮ A MODIFIED FREQUENCY–AMPLITUDE FORMULATION FOR FRACTAL VIBRATION SYSTEMS ⋮ ON TWO-SCALE DIMENSION AND ITS APPLICATION FOR DERIVING A NEW ANALYTICAL SOLUTION FOR THE FRACTAL DUFFING’S EQUATION ⋮ LOW FREQUENCY PROPERTY OF A FRACTAL VIBRATION MODEL FOR A CONCRETE BEAM ⋮ AN EFFICIENT ANCIENT CHINESE ALGORITHM TO INVESTIGATE THE DYNAMICS RESPONSE OF A FRACTAL MICROGRAVITY FORCED OSCILLATOR ⋮ VARIATIONAL APPROACH TO FRACTAL SOLITARY WAVES

Cites Work

• Unnamed Item
• Exact solution of the cubic-quintic Duffing oscillator
• Exact solution of the quadratic mixed-parity Helmholtz-Duffing oscillator
• Energy method to obtain approximate solutions of strongly nonlinear oscillators
• A tutorial review on fractal spacetime and fractional calculus
• Exact solutions for the quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity
• On electromagnetic wave propagation in fractional space
• Homoclinic bifurcation and chaos control in MEMS resonators
• Amplitude-frequency relationship for conservative nonlinear oscillators with odd nonlinearities
• Exact solutions for the cubic-quintic nonlinear Schrödinger equation
• Finite Amplitude Vibrations of a Body Supported by Simple Shear Springs
• Solitons for the cubic–quintic nonlinear Schrödinger equation with time- and space-modulated coefficients
• Some Exact Solutions of Variable Coefficient Cubic-Quintic Nonlinear Schrödinger Equation with an External Potential
• ELECTROMAGNETIC FIELDS ON FRACTALS
• Forced vibrations of a body supported by hyperelastic shear mountings

This page was built for publication: ANALYTICAL SOLUTION OF THE FRACTAL CUBIC–QUINTIC DUFFING EQUATION