A complete symmetry classification and reduction of some classes of the nonlinear (1-2) wave equation

A. Ahmad; Ashfaque H. Bokhari; A. H. Kara; F. D. Zaman

doi:10.2989/16073601003718271

A complete symmetry classification and reduction of some classes of the nonlinear (1-2) wave equation

A. Ahmad, Ashfaque H. Bokhari, A. H. Kara, F. D. Zaman

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	75-94
Number of pages	20
Journal	Quaestiones Mathematicae
Volume	33
Issue number	1
DOIs	https://doi.org/10.2989/16073601003718271
State	Published - Mar 2010

Keywords

Lie symmetry classification
Nonlinear (1-2) wave equation

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.2989/16073601003718271

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title = "A complete symmetry classification and reduction of some classes of the nonlinear (1-2) wave equation",

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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AU - Kara, A. H.

AU - Zaman, F. D.

PY - 2010/3

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AB - 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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KW - Nonlinear (1-2) wave equation

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DO - 10.2989/16073601003718271

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SN - 1607-3606

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A complete symmetry classification and reduction of some classes of the nonlinear (1-2) wave equation

Abstract

Keywords

ASJC Scopus subject areas

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