Integrable systems and modular forms of level 2


Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Ablowitz, MJ; Chakravarty, S; Hahn, H

Published Date

  • December 15, 2006

Published In

Volume / Issue

  • 39 / 50

Start / End Page

  • 15341 - 15353

Electronic International Standard Serial Number (EISSN)

  • 1361-6447

International Standard Serial Number (ISSN)

  • 0305-4470

Digital Object Identifier (DOI)

  • 10.1088/0305-4470/39/50/003

Citation Source

  • Scopus