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Applying Jacobian Elliptic Functions to Solve Linear and Nonlinear Differential Equations With Mathematica

Alex Elías-Zúñiga
Organization: ITESM, Monterrey, México

2003 International Mathematica Symposium
Conference location

Imperial College, London

We use Mathematica to illustrate the applications of Jacobi elliptic functions to obtain the approximate solution of a two degree of freedom, undamped, homogeneous dynamical system having small cubic nonlinearities. We also illustrate in this article how Mathematica may help to obtain the closed-form solution of Lamé’s equation.

*Applied Mathematics
*Mathematics > Calculus and Analysis > Differential Equations

Jacobi elliptic functions, Lamé’s equation
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