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181		0	_ai
182		0	_ab
200	1		_aOne-Dimensional Fokker–Planck Equation with Quadratically Nonlinear Quasilocal Drift _fA. V. Shapovalov
203			_aText _celectronic
300			_aTitle screen
320			_a[References: 18 tit.]
330			_aThe Fokker–Planck equation in one-dimensional spacetime with quadratically nonlinear nonlocal drift in the quasilocal approximation is reduced with the help of scaling of the coordinates and time to a partial differential equation with a third derivative in the spatial variable. Determining equations for the symmetries of the reduced equation are derived and the Lie symmetries are found. A group invariant solution having the form of a traveling wave is found. Within the framework of Adomian’s iterative method, the first iterations of an approximate solution of the Cauchy problem are obtained. Two illustrative examples of exact solutions are found.
333			_aРежим доступа: по договору с организацией-держателем ресурса
461			_tRussian Physics Journal
463			_tVol. 60, iss. 12 _v[P. 2063-2072] _d2018
610	1		_aэлектронный ресурс
610	1		_aтруды учёных ТПУ
610	1		_anonlinear Fokker–Planck equation
610	1		_aquasilocal approximation
610	1		_aLie symmetries
610	1		_atraveling waves
610	1		_aAdomian decomposition method
610	1		_aexact solutions
700		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
712	0	2	_aНациональный исследовательский Томский политехнический университет _bИсследовательская школа физики высокоэнергетических процессов _c(2017- ) _h8118 _2stltpush _3(RuTPU)RU\TPU\col\23551
801		2	_aRU _b63413507 _c20220208 _gRCR
856	4		_uhttps://doi.org/10.1007/s11182-018-1327-4
942			_cCF