Magda O. Group classification and exact solutions of nonlinear equations of hyperbolic type

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U002908

Thesis Registration Form

0404U002908.pdf

Applicant for

Specialization

  • 01.01.03 - Математична фізика

15-06-2004

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

Nonlinear equations of hyperbolic type. Investigation of symmetry properties and construction of exact solutions. Integration of differential equations with modern methods of group analysis. Complete group classification of quasilinear equations of hyperbolic type. By means of the found symmetries, reduction of this equation is carried out and the related exact solutions are constructed. The results are new and can be used in applied problems of mathematical and theoretical physics etc.

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Files

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