Geodesic
Nonlinear two-dimensional field theory models and Painlevé equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 189-196 
V. I. Gromak; V. V. Tsegel'nik. Nonlinear two-dimensional field theory models and Painlevé equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 189-196. http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a2/
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     author = {V. I. Gromak and V. V. Tsegel'nik},
     title = {Nonlinear two-dimensional field theory models and {Painlev\'e} equations},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The connection is established between similar solutions of a nonlinear second-order partial differential equation associated with nonlinear field theory models and the solutions of the third and fifth Painlevé equations. Bäcklund transformations are given and special classes of solutions are constructed.

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