Cyclic identities involving Jacobi elliptic functions

Journal of Mathematical Physics

Volumn 43, Issue 7, 2002, Pages 3798-3806

  Khare, Avinash ^a   Sukhatme, Uday ^a  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036629855     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1484541     Document Type: Article

References (12)

1. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964).
2. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1980).
3. A. Khare and U. Sukhatme, J. Math. Phys. 40, 5473 (1999); and 42, 5652 (2001).
4. A. Khare and U. Sukhatme, J. Math. Phys. 40, 5473 (1999); and 42, 5652 (2001).
5. A. Khare and U. Sukhatme, "Periodic Potentials with a Finite Number of Band Gaps," UIC preprint UICHEP-TH/01-9 (2001).
6. F.M. Arscott, Periodic Differential Equations (Pergamon, Oxford, 1981).
7. W. Magnus and S. Winkler, Hill's Equation (Wiley, New York, 1966).
8. A.G. Greenhill, The Applications of Elliptic Functions (Dover, New York, 1959).
9. G.H. Halphen, Traité des Fonctions Elliptiques (Gauthier-Villars, Paris, 1886).
10. A. Khare and U. Sukhatme, "Linear Superposition in Nonlinear Equations," UIC preprint UICHEP-TH/01-6 (2001); math-ph/0112002, Phys. Rev. Lett. (to appear).
11. A. Khare and U. Sukhatme, "Linear Superposition in Nonlinear Equations," UIC preprint UICHEP-TH/01-6 (2001); math-ph/0112002, Phys. Rev. Lett. (to appear).
12. F. Cooper, A. Khare, and U. Sukhatme, "Periodic Solutions of Nonlinear Schrödinger and Other Equations," UIC preprint UICHEP-TH/01-8 (2001); nlin.SI/0203018.