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 dil | İngilizce |
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Sayfa (başlangıç-bitiş) | 3203-3210 |
Sayfa sayısı | 8 |
Dergi | Computers and Mathematics with Applications |
Hacim | 59 |
Basın numarası | 9 |
DOI'lar | |
Yayın durumu | Yayınlandı - May 2010 |