Integrable systems and modular forms of level 2
Publication
, Journal Article
Ablowitz, MJ; Chakravarty, S; Hahn, H
Published in: Journal of Physics A: Mathematical and General
December 15, 2006
A set of nonlinear differential equations associated with the Eisenstein series of the congruent subgroup Γ0(2) of the modular group SL2(ℤ) is constructed. These nonlinear equations are analogues of the well-known Ramanujan equations, as well as the Chazy and Darboux-Halphen equations associated with the modular group. The general solutions of these equations can be realized in terms of the Schwarz triangle function S(0, 0, 1/2; z). © 2006 IOP Publishing Ltd.
Duke Scholars
Published In
Journal of Physics A: Mathematical and General
DOI
EISSN
1361-6447
ISSN
0305-4470
Publication Date
December 15, 2006
Volume
39
Issue
50
Start / End Page
15341 / 15353
Related Subject Headings
- Mathematical Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
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Ablowitz, M. J., Chakravarty, S., & Hahn, H. (2006). Integrable systems and modular forms of level 2. Journal of Physics A: Mathematical and General, 39(50), 15341–15353. https://doi.org/10.1088/0305-4470/39/50/003
Ablowitz, M. J., S. Chakravarty, and H. Hahn. “Integrable systems and modular forms of level 2.” Journal of Physics A: Mathematical and General 39, no. 50 (December 15, 2006): 15341–53. https://doi.org/10.1088/0305-4470/39/50/003.
Ablowitz MJ, Chakravarty S, Hahn H. Integrable systems and modular forms of level 2. Journal of Physics A: Mathematical and General. 2006 Dec 15;39(50):15341–53.
Ablowitz, M. J., et al. “Integrable systems and modular forms of level 2.” Journal of Physics A: Mathematical and General, vol. 39, no. 50, Dec. 2006, pp. 15341–53. Scopus, doi:10.1088/0305-4470/39/50/003.
Ablowitz MJ, Chakravarty S, Hahn H. Integrable systems and modular forms of level 2. Journal of Physics A: Mathematical and General. 2006 Dec 15;39(50):15341–15353.
Published In
Journal of Physics A: Mathematical and General
DOI
EISSN
1361-6447
ISSN
0305-4470
Publication Date
December 15, 2006
Volume
39
Issue
50
Start / End Page
15341 / 15353
Related Subject Headings
- Mathematical Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences