Differential operators commuting in the principal part |
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| Authors: | R A Gabiev A B Shabat |
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| Institution: | 1.Aliev Karachai-Cherkess State University,Karachaevsk,Russia;2.Landau Institute for Theoretical Physics,Chernogolovka, Moscow Oblast,Russia |
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| Abstract: | We consider commuting differential operators with two independent variables of general form and obtain general necessary commutativity
conditions for low-order operators. We show that these conditions allow classifying commuting pairs of operators whose coefficients
are linear functions of the independent variables. |
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| Keywords: | |
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