ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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The first-order nonlinear partial differential equation of the dislocation density

S. N. Alekseenko1, S. N. Nagornyh2

AnnotationWithin the framework of the theory of elasticity, the new equation governing a dynamics of the dislocation density is obtained. A basic scheme to apply the method of additional argument for solving this equation is presented.
Keywordsdislocation density, nonlinear first-order equation, local reducibility, method of additional argument.

1The professor of the mathematical analysis chair, Nizhniy Novgorod State Pedagogical University, Nizhniy Novgorod; sn-alekseenko@yandex.ru

2The senior lecture of the theoretical physics chair, Nizhniy Novgorod State Pedagogical University, Nizhniy Novgorod; algoritm@sandy.ru

Citation: S. N. Alekseenko, S. N. Nagornyh, "[The first-order nonlinear partial differential equation of the dislocation density]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:1 (2010) 41–45 (In Russian)