Lie-symmetry vector fields for linear and nonlinear wave equations

• We derive the Lie symmetry vector fields for the linear wave equation .. u=0 and nonlinear wave equation .. u=u 3. The conformal vector fields for the underlying metric tensor fieldg are also given. We construct the conservation laws and derive similarity solutions. Furthermore, we perform a Painlevé test for the nonlinear wave equation and discuss whether Lie-Bäcklund vector fields exist.

Ämnesord

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

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

Nyckelord

Matematik

Mathematics

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)