Dynamics of media with stationary parameters and telegraph equations
2021 ◽
Vol 2091
(1)
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pp. 012069
Keyword(s):
Abstract The paper proposes an approach for constructing exact solutions of differential equations of mathematical physics, in particular, the telegraph equation. The method is based on the theory of finite-dimensional dynamics of systems of evolutionary differential equations. This theory is a natural extension of the theory of dynamical systems to partial differential equations. It allows one to construct exact solutions of partial differential equations even in the case when equations do not have symmetry algebras sufficient for integration.
2012 ◽
Vol 219
(4)
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pp. 1474-1484
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2010 ◽
pp. 293-382
2010 ◽
pp. 257-278
1964 ◽
pp. 476-624
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1956 ◽
Vol 60
(546)
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pp. 423-423
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