Articles

A Complete Symmetry Classification and Reduction of Some Classes of the Nonlinear (1-2) Wave Equation

Published in: Quaestiones Mathematicae
Volume 33 , issue 1 , 2010 , pages: 75–94

DOI: 10.2989/16073601003718271

Author(s): A. Ahmad Department of Mathematics, Saudi Arabia , AshfaqueH. Bokhari Department of Mathematics, Saudi Arabia , A.H. Kara School of Mathematics, South Africa , F.D. Zaman Department of Mathematics, Saudi Arabia

Keywords: Lie symmetry classification , nonlinear (1-2) wave equation

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Abstract

A classification of symmetries of a nonlinear one-two wave equation is given with their respective commutator tables. Two dimensional Lie algebras of point symmetry generators are used to construct exact solutions for some classes invariant under the subalgebra. Comparisons and other significant results regarding other equations, like the Laplace's equation, are made.

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