Invariant solutions and conservation laws to nonconservative FP equation

Emrullah Yaşar, Teoman Özer*

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17 Atıf (Scopus)

Özet

We generate conservation laws for the one dimensional nonconservative Fokker-Planck (FP) equation, also known as the Kolmogorov forward equation, which describes the time evolution of the probability density function of position and velocity of a particle, and associate these, where possible, with Lie symmetry group generators. We determine the conserved vectors by a composite variational principle and then check if the condition for which symmetries associate with the conservation law is satisfied. As the Fokker-Planck equation is evolution type, no recourse to a Lagrangian formulation is made. Moreover, we obtain invariant solutions for the FP equation via potential symmetries.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)3203-3210
Sayfa sayısı8
DergiComputers and Mathematics with Applications
Hacim59
Basın numarası9
DOI'lar
Yayın durumuYayınlandı - May 2010

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