Podoshvelev Y. Classical and Conditional Symmetry of Nonlinear wave Equations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0401U001068

Applicant for

Specialization

  • 01.01.03 - Математична фізика

03-04-2001

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

The classification of a number of wave equations was conducted with respect conformal algebras. The symmetry properties were investigated. Lie's and conditional summaries were used for finding invariants of the conformal algebras AC(1,1) and AC(2,2). These invariants were used for building anzatses and reduction equations to ordinary or partial differential equations with a lesser number of unknown values. New classes of exact solutions of some equations are received.

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