Loop algebra of lie symmetries for a short-wave equation

It is demonstrated that Lie point symmetries associated with a nonlinear equation for short waves in three dimensions generate an infinite-dimensional Lie algebra-a loop Algebra. Classification of the independent sets of the subalgebra is done through the adjoint action of the corresponding generato...

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Veröffentlicht in:	Int. J. Theor. Phys.; (United States) 1988, Vol.27 (1), p.47-55
Hauptverfasser:	SWAPNA ROY, ROY CHOWDHURY, A, MRITYUNJOY DE
Format:	Artikel
Sprache:	eng
Schlagworte:	657002 > Theoretical & Mathematical Physics-- Classical & Quantum Mechanics CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS CLASSIFICATION COMMUTATION RELATIONS DIFFERENTIAL EQUATIONS EQUATIONS Exact sciences and technology Function theory, analysis FUNCTIONS LAGRANGIAN FUNCTION LIE GROUPS MANY-DIMENSIONAL CALCULATIONS Mathematical methods in physics MECHANICS NONLINEAR PROBLEMS PARTIAL DIFFERENTIAL EQUATIONS Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS QUANTUM MECHANICS SYMMETRY GROUPS 645400 > High Energy Physics-- Field Theory THREE-DIMENSIONAL CALCULATIONS TRANSFORMATIONS WAVE EQUATIONS
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Beschreibung
Zusammenfassung:	It is demonstrated that Lie point symmetries associated with a nonlinear equation for short waves in three dimensions generate an infinite-dimensional Lie algebra-a loop Algebra. Classification of the independent sets of the subalgebra is done through the adjoint action of the corresponding generators. Different forms of a similarity solutions are discussed.
ISSN:	0020-7748 1572-9575
DOI:	10.1007/BF00672047