Exact solutions of the collisional Vlasov equation

1998 ◽  
Vol 59 (1) ◽  
pp. 169-177 ◽  
Author(s):  
A. M. EL-HANBALY ◽  
A. ELGARAYHI
Keyword(s):  
Exact Solutions ◽  
Symmetry Group ◽  
Poisson Equation ◽  
Vlasov Equation ◽  
Planck Equation ◽  
Similarity Solutions ◽  
System Of Equations ◽  
The Poisson Equation ◽  
Fokker Planck Equation ◽  
Different Types

The symmetry group of the Vlasov–Fokker–Planck equation (VFPE) is constructed. The effects of the Poisson equation on this group is studied, and different types of similarity solutions of the whole system of equations (VFPE+Poisson equation) are obtained.

Exact solutions of the Fokker–Planck equation from an nth order supersymmetric quantum mechanics approach

2009 ◽  
Vol 373 (18-19) ◽  
pp. 1610-1615 ◽  
Author(s):  
Axel Schulze-Halberg ◽  
Jesús Morales Rivas ◽  
José Juan Peña Gil ◽  
Jesús García-Ravelo ◽  
Pinaki Roy
Keyword(s):  
Quantum Mechanics ◽  
Exact Solutions ◽  
Planck Equation ◽  
Supersymmetric Quantum Mechanics ◽  
Fokker Planck Equation ◽  
Fokker Planck
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