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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 113, Number 2, Pages 285–288
DOI: https://doi.org/10.4213/tmf1078 (Mi tmf1078) 		 
Some properties of solutions of a $P$-type nonlinear equation

V. V. Tsegel'nik

Belarussian State University of Computer Science and Radioelectronic Engineering
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DOI: https://doi.org/10.4213/tmf1078
Abstract: For a nonlinear ordinary differential equation (defining a polinomial Hamiltonian associated with the third Painlev'e equation in the case $\gamma=0$, $\alpha\delta\neq0$) we have obtained Bäcklund transformation and nonlinear functional relationship for solutions corresponding to different values of the parameter of the equation.
Received: 03.03.1997
English version:
Theoretical and Mathematical Physics, 1997, Volume 113, Issue 2, Pages 1438–1441
DOI: https://doi.org/10.1007/BF02634169
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Language: Russian
Citation: V. V. Tsegel'nik, “Some properties of solutions of a $P$-type nonlinear equation”, TMF, 113:2 (1997), 285–288; Theoret. and Math. Phys., 113:2 (1997), 1438–1441
Citation in format AMSBIB
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\by V.~V.~Tsegel'nik
\paper Some properties of solutions of a $P$-type nonlinear equation
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\yr 1997
\vol 113
\issue 2
\pages 285--288
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\crossref{https://doi.org/10.4213/tmf1078}
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\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 113
\issue 2
\pages 1438--1441
\crossref{https://doi.org/10.1007/BF02634169}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000072788800005}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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