The Duffing Oscillator Equation and Its Applications in Physics

The Duffing Oscillator Equation and Its Applications in Physics

In this paper, we solve the Duffing equation for given initial conditions. We introduce the concept of the discriminant for the Duffing equation and we solve it in three cases depending on sign of the discriminant. We also show the way the Duffing equation is applied in soliton theory.

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Veröffentlicht in:Mathematical problems in engineering 2021-11, Vol.2021, p.1-13
Hauptverfasser: Salas Salas, Alvaro Humberto, Castillo Hernández, Jairo Ernesto, Martínez Hernández, Lorenzo Julio
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Duffing equation
Duffing oscillators
Engineering
Initial conditions
Nonlinear equations
Partial differential equations
Physics
Schrodinger equation
Solitary waves
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Beschreibung
Zusammenfassung:In this paper, we solve the Duffing equation for given initial conditions. We introduce the concept of the discriminant for the Duffing equation and we solve it in three cases depending on sign of the discriminant. We also show the way the Duffing equation is applied in soliton theory.
ISSN:1024-123X
1563-5147
DOI:10.1155/2021/9994967