Geodesic
Backlund transformations of the relativistic Schrodinger equation
Sibirskij žurnal industrialʹnoj matematiki, Tome 26 (2023) no. 4, pp. 109-124

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We study the system of equations obtained on the basis of the relativistic Schrodinger equation and relating the potential, amplitude, and phase functions. Using the methods of the theory of consistency of systems of partial differential equations, we obtain completely integrable systems that relate only two functions of the above three. The systems found are related by Backlund transformations.
Keywords: relativistic Schrodinger equation, Backlund transformation, consistency condition. 
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     author = {M. V. Neschchadim and A. A. Simonov},
     title = {Backlund transformations of the relativistic {Schrodinger} equation},
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M. V. Neschchadim; A. A. Simonov. Backlund transformations of the relativistic Schrodinger equation. Sibirskij žurnal industrialʹnoj matematiki, Tome 26 (2023) no. 4, pp. 109-124. http://geodesic.mathdoc.fr/item/SJIM_2023_26_4_a7/