Geodesic
Approximation of the Pfaff equations of several variables
Matematičeskoe obrazovanie, Tome 100 (2021) no. 4, pp. 57-62

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The paper proposes a method for constructing approximate integrable analogs of non-integrable Pfaff equations. A special method for checking the exactness of the Pfaffian differential form is considered and an analytic form of the potential function is given without applying the theory of curvilinear integrals. 
@article{MO_2021_100_4_a8,
     author = {V. V. Ivlev and E. A. Krivoshey},
     title = {Approximation of the {Pfaff} equations of several variables},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {57--62},
     publisher = {mathdoc},
     volume = {100},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2021_100_4_a8/}
}
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V. V. Ivlev; E. A. Krivoshey. Approximation of the Pfaff equations of several variables. Matematičeskoe obrazovanie, Tome 100 (2021) no. 4, pp. 57-62. http://geodesic.mathdoc.fr/item/MO_2021_100_4_a8/