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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 119, Number 1, Pages 47–54
DOI: https://doi.org/10.4213/tmf726 (Mi tmf726) 		 
Miura-type transformations of nonlinear partial differential equations integrable by the $\bar\partial$-problem method

A. I. Zenchuk

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/tmf726
Abstract: A new method is suggested for constructing Miura-type transformations for systems of nonlinear equations of mathematical physics integrable by the $\bar\partial$-problem method using a generalized normalization function in the $\bar\partial$-problem. Examples of these transformations for the Kadomtsev–Petviashvili equation are considered.
Received: 21.09.1998
English version:
Theoretical and Mathematical Physics, 1999, Volume 119, Issue 1, Pages 431–437
DOI: https://doi.org/10.1007/BF02557341
Bibliographic databases:
Language: Russian
Citation: A. I. Zenchuk, “Miura-type transformations of nonlinear partial differential equations integrable by the $\bar\partial$-problem method”, TMF, 119:1 (1999), 47–54; Theoret. and Math. Phys., 119:1 (1999), 431–437
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\pages 431--437
\crossref{https://doi.org/10.1007/BF02557341}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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