Geodesic
A~simple example of modular forms as tau-functions for integrable equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 2, pp. 330-341

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We show how classical modular forms and functions appear as tau-functions for a certain integrable reduction of the self-dual Yang–Mills equations obtained by S. Chakravarty, M. Ablowitz, and P. Clarkson [6]. We discuss possible consequences of this novel phenomenon in integrable systems which indicate deep connections between integrable equations, group representations, modular forms, and moduli spaces. 
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     author = {L. A. Takhtadzhyan},
     title = {A~simple example of modular forms as tau-functions for integrable equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {330--341},
     publisher = {mathdoc},
     volume = {93},
     number = {2},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_93_2_a9/}
}
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L. A. Takhtadzhyan. A~simple example of modular forms as tau-functions for integrable equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 2, pp. 330-341. http://geodesic.mathdoc.fr/item/TMF_1992_93_2_a9/