Geodesic
Infinite-parameter families of solutions of nonlinear differential equations
Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 303-311

Voir la notice de l'article provenant de la source Math-Net.Ru

A Bäcklund transformation of a nonlinear equation and additional invariance of it under a contact transformation permit the construction of a family of solutions depending on an arbitrary number of parameters. Boundary value problems are solved by choosing the parameters and the initial solution. 
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     author = {S. V. Khabirov},
     title = {Infinite-parameter families of solutions of nonlinear differential equations},
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S. V. Khabirov. Infinite-parameter families of solutions of nonlinear differential equations. Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 303-311. http://geodesic.mathdoc.fr/item/SM_1994_77_2_a3/