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JacobiAmplitude






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Elliptic Functions > JacobiAmplitude[z,m] > Introduction to the Jacobi elliptic functions





Applications of Jacobi elliptic functions

Applications of Jacobi elliptic functions include conformal mappings, electrostatics and magnetostatics, fluid dynamics, mechanics of tops, nonlinear integrable equations, the Ising model of statistical mechanics, celestial mechanics, closed‐form solutions for nonlinear Schrödinger equations, analysis of exactly solvable chaos‐exhibiting sequences, solution of equations of motion for quartic potentials, and elliptic function theory.