Sergyeyev A. Higher symmetries and parasupersymmetries of evolution equations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0400U002401

Thesis Registration Form

0400U002401.pdf

Applicant for

Specialization

  • 01.01.03 - Математична фізика

26-09-2000

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

For (1+1)-dimensional evolution equations (EEs) and a certain class of systems of such EEs of order n>1 the sufficient conditions of absence of sufficiently high order nonstationary generalized symmetries (GSs) are obtained, and the general form of dependence on spacial variable x of GSs for EEs and systems, invariant under x-shift, is found. For the modified Stueckelberg equation in the Coulomb field the eigenvalues and eigenfunctions of discrete spectrum are found, and the parasupersymmetry for some values of parameters is revealed.

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