Persons: Murtazina, Regina Dimovna

Persons

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Murtazina, Regina Dimovna

Candidate of physico-mathematical sciences

E-mail:

Keywords:

nonlinear hyperbolic equation, characteristic algebra, characteristic equation, integral, basis.

UDC:

517.957

Subject:

Classification of the integrated nonlinear equations, based on research of structure of characteristic algebra is offered.

Main publications:

"On the characteristic Lie algebras for equations $u_{xy}=f(u,u_x)$" Hamiltonian & Lagrangian systems and Lie algebras. - Fundam. Appl. Math. 12 (2006). No. 7. Рp. 65–78.

	Publications in Math-Net.Ru	Citations
	2012
1.	A. V. Zhiber, R. D. Murtazina, I. T. Habibullin, A. B. Shabat, “Characteristic Lie rings and integrable models in mathematical physics”, Ufimsk. Mat. Zh., 4:3 (2012), 17–85	18
	2011
2.	R. D. Murtazina, “Nonlinear hyperbolic equations with characteristic ring of dimension 3”, Ufimsk. Mat. Zh., 3:4 (2011), 116–121	2
	2009
3.	R. D. Murtazina, “Characteristic Lie algebras of slow growth and mSG equation”, Ufimsk. Mat. Zh., 1:3 (2009), 111–118
	2007
4.	R. D. Murtazina, “Нелинейные гиперболические уравнения и характеристические алгебры Ли”, Trudy Inst. Mat. i Mekh. UrO RAN, 13:4 (2007), 103–118	3
	2006
5.	A. V. Zhiber, R. D. Murtazina, “On the characteristic Lie algebras for equations $u_{xy}=f(u,u_x)$”, Fundam. Prikl. Mat., 12:7 (2006), 65–78 ; J. Math. Sci., 151:4 (2008), 3112–3122	19

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