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100			_a20140224a1990 k y0engy50 ba
101	0		_aeng
102			_aUS
135			_adrnn ---uucaa
181		0	_ai
182		0	_ab
200	1		_aCommutative subalgebras of three first-order symmetry operators and separation of variables in the wave equation _fV. G. Bagrov [et al.]
203			_aText _celectronic
300			_aTitle screen
320			_a[References: p. 452 (11 tit.)]
330			_aThe problem of complex separation of variables in the wave equation is considered in four-dimensional Minkowskii space-time. In contrast to the known series of researches by Kalnins and Miller (see Ref. Zh., Fiz., 2B9 (1978); 1B208 and 1B209 (1979), e.g.), underlying this research is a theorem on the necessary and sufficient conditions of total separation of variables in the non-parabolic V. N. Shapovalov equation (Differents. Uravn.,16, No. 10, 1864–1874 (1980)). Nonequivalent complete sets of three differential first-order symmetry operators are constructed, appropriate coordinate systems are found, and complete separation of variables is performed in the wave equation
333			_aРежим доступа: по договору с организацией-держателем ресурса
461			_tSoviet Physics Journal _oScientific Journal
463			_tVol. 33, iss. 5 _v[P. 448-452] _d1990
610	1		_aэлектронный ресурс
610	1		_aтруды учёных ТПУ
701		1	_aBagrov _bV. G. _cphysicist _cProfessor of Tomsk state University _f1938- _gVladislav Gavriilovich _2stltpush _3(RuTPU)RU\TPU\pers\38248
701		1	_aSamsonov _bB. F.
701		1	_aShapovalov _bA. V. _cmathematician _cProfessor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences _f1949- _gAleksandr Vasilyevich _2stltpush _3(RuTPU)RU\TPU\pers\31734
701		1	_aShirokov _bI. V.
801		2	_aRU _b63413507 _c20180306 _gRCR
856	4		_uhttp://link.springer.com/article/10.1007%2FBF00896088
942			_cBK