Panchak O. Reduction and exact solutions of the nonlinear complex wave equations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0499U000493

Thesis Registration Form

0499U000493.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

16-03-1999

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

In the thesis a complete solution of the problem of group-theoretical reduction of complex nonlinear wave equation invariant with respect to the Poincare group and the extended Poincare group to the ordinary differential equations is obtained. Wide classes of non-Lie solutions containing arbitrary functions for nonlinear complex D'alambert equation are constructed. The mechanism of non-Lie reduction of complex wave equations to the algebraic ones is investigated. Wide classes of exact solutions of the equations under consideration are constructed.

Read more

Similar theses

0521U102074

Golovaty Yuriy Danylovch

Singularly perturbed differential operators in models of quantum mechanics

0521U101590

Medynsky Ihor Pavlovych

Fundamental solutions of the Cauchy problem for degenerate parabolic equations

0421U102084

Heseleva Kateryna H.

Collocation-Iterative Method for Solving Integro-Functional Equations

0421U102060

Skutar Ihor D.

Asymptotic integration of systems of differential equations with a small parameter at some derivatives.

0421U101723

Myslo Yuliia M.

Asymptotically almost periodic solutions of differential equations with delay and impulses