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Exact solution of the cubic-quintic Duffing oscillator |
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| Authors: | Alex Elías-Zúñiga |
| Institution: | Departamento de Ingeniería Mecánica, Tecnológico de Monterrey, Campus Monterrey, E. Garza Sada 2501 Sur, C.P. 64849, Monterrey, N. L., Mexico |
| Abstract: | In this paper, we derive the exact solution of the cubic-quintic Duffing oscillator based on the use of Jacobi elliptic functions. We also showed that the exact angular frequency of this cubic-quintic Duffing equation is given in terms of the complete elliptic integral of the first kind. |
| Keywords: | Jacobian elliptic functions Cubic-quintic nonlinear Schrö dinger equation Duffing oscillators solitons Exact solution |
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