Geodesic
The gauge related deformations of the ordinary linear differential operators with constant coefficients
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 33, Tome 308 (2004), pp. 235-251

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The relations between coefficients of gauge related deformations and solutions of some system of ordinary non-linear differential equations are studied. These coefficients are found in the explicit form. 
@article{ZNSL_2004_308_a13,
     author = {S. P. Khekalo},
     title = {The gauge related deformations of the ordinary linear differential operators with constant coefficients},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {235--251},
     publisher = {mathdoc},
     volume = {308},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_308_a13/}
}
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S. P. Khekalo. The gauge related deformations of the ordinary linear differential operators with constant coefficients. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 33, Tome 308 (2004), pp. 235-251. http://geodesic.mathdoc.fr/item/ZNSL_2004_308_a13/