Geodesic
The~dressing method and separation of variables: The~two-dimensional case
Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 3, pp. 327-331

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Separation of variables is very convenient for obtaining solutions of linear differential equations in explicit form. We use the dressing method to widen the class of such equations. As an example, we dress a two-dimensional linear differential operator, including an operator with constant coefficients.
Keywords: separation of variables, dressing method, Schrödinger operator. 
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     author = {V. G. Marikhin},
     title = {The~dressing method and separation of variables: {The~two-dimensional} case},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
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     number = {3},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_161_3_a2/}
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V. G. Marikhin. The~dressing method and separation of variables: The~two-dimensional case. Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 3, pp. 327-331. http://geodesic.mathdoc.fr/item/TMF_2009_161_3_a2/