Wolfram Researchfunctions.wolfram.comOther Wolfram Sites
Search Site
Function CategoriesGraphics GalleryNotationsGeneral IdentitiesAbout This Site Email Comments

View Related Information In
The Documentation Center
MathWorld

Download All Formulas For This Function
Mathematica Notebook
PDF File

Download All Introductions For This Function
Mathematica Notebook
PDF File

 

Developed with Mathematica -- Download a Free Trial Version
 











JacobiSD






Mathematica Notation

Traditional Notation









Elliptic Functions > JacobiSD[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.