Approximate symmetries and conservation laws with applications


Kara A., Mahomed F., Unal G.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.38, ss.2389-2399, 1999 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 38 Konu: 9
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1023/a:1026684004127
  • Dergi Adı: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Sayfa Sayıları: ss.2389-2399

Özet

The relationship between the approximate Lie-Backlund symmetries and the approximate conserved forms of a perturbed equation is studied. It is shown that a hierarchy of identities exists by which the components of the approximate conserved vector or the associated approximate Lie-Backlund symmetries are determined by recursive formulas. The results are applied to certain classes of linear and nonlinear wave equations as well as a perturbed Korteweg-de Vries equation. We construct approximate conservation laws for these equations without regard to a Lagrangian.