Geodesic
On certain nonlinear systems of partial differential equations of the second order
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2017), pp. 97-100

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We consider nonlinear systems of five partial differential equations of the second order with one and two unknown functions. We obtain explicit conditions of compatibility which provide the unique solvability of problems with initial data.
Keywords: compatibility conditions, the variety of solutions, overdetermined systems. 
@article{IVM_2017_1_a10,
     author = {R. Pirov},
     title = {On certain nonlinear systems of partial differential equations of the second order},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {97--100},
     publisher = {mathdoc},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_1_a10/}
}
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R. Pirov. On certain nonlinear systems of partial differential equations of the second order. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2017), pp. 97-100. http://geodesic.mathdoc.fr/item/IVM_2017_1_a10/