Principle of an a priori use of symmetries in the theory of nonlinear waves.

• The principle of an a priori use of symmetries is proposed as a new approach to solving nonlinear problems on the basis of a reasonable complication of mathematical models. This approach often provides additional symmetries, and hence opens possibilities to find new analytical solutions. The potentialities of the proposed approach are illustrated by applying to problems of nonlinear acoustics.

Ämnesord

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Nyckelord

Nonlinear acoustics

symmetries

mathematical models

nonlinear problems

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)