Geodesic
Application of differential forms to construction of nonlocal symmetries
Matematičeskoe modelirovanie, Tome 6 (1994) no. 3, pp. 60-74.

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Differential forms are used for construction of nonlocal symmetries of partial differential equations with conservation laws. Every conservation law allows to introduce a nonlocal variable corresponding to the conserved quantity. A prolongation technique is offered for action of symmetry operators on these nonlocal variables. It is shown how to introduce these variables for the symmetry group to be the same. A new hidden symmetry and corresponding group-invariant solution are found for gas dynamics equations. 
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     author = {S. I. Agafonov},
     title = {Application of differential forms to construction of nonlocal symmetries},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {60--74},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1994_6_3_a6/}
}
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S. I. Agafonov. Application of differential forms to construction of nonlocal symmetries. Matematičeskoe modelirovanie, Tome 6 (1994) no. 3, pp. 60-74. http://geodesic.mathdoc.fr/item/MM_1994_6_3_a6/