Symmetry vector fields and similarity solutions of a nonlinear field equation describing the relaxation to a Maxwell distribution
Journal Article
·
· Int. J. Theor. Phys.; (United States)
In the study of the formulation of Maxwellian tails the nonlinear partial differential equation delta/sup 2/u/deltaxdelta tau + deltau/delta x + u/sup 2/ = 0 arises. We determine the Lie point symmetry vector fields and calculate the similarity ansaetze. Then we discuss the resulting ordinary differential equations. Finally, the existence of Lie Baecklund vector fields is studied and a Painleve analysis is performed.
- Research Organization:
- Rand Afrikaans Univ., Johannesburg (South Africa)
- OSTI ID:
- 6313306
- Journal Information:
- Int. J. Theor. Phys.; (United States), Journal Name: Int. J. Theor. Phys.; (United States) Vol. 27:6; ISSN IJTPB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAECKLUND TRANSFORMATION
BOLTZMANN STATISTICS
DIFFERENTIAL EQUATIONS
DISTRIBUTION FUNCTIONS
EQUATIONS
FIELD EQUATIONS
FLUIDS
FUNCTIONS
GASES
INVARIANCE PRINCIPLES
LIE GROUPS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
SYMMETRY
SYMMETRY GROUPS
TRANSFORMATIONS
VECTOR FIELDS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAECKLUND TRANSFORMATION
BOLTZMANN STATISTICS
DIFFERENTIAL EQUATIONS
DISTRIBUTION FUNCTIONS
EQUATIONS
FIELD EQUATIONS
FLUIDS
FUNCTIONS
GASES
INVARIANCE PRINCIPLES
LIE GROUPS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
SYMMETRY
SYMMETRY GROUPS
TRANSFORMATIONS
VECTOR FIELDS