On the exact solutions of the nonlinear wave and φ4-model equations

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

doi:10.2991/jnmp.2008.15.s1.9

On the exact solutions of the nonlinear wave and φ4-model equations

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

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

3 Scopus citations

Abstract

The nonlinear wave equation with variable long wave velocity and the Gordon-type equations (in particular, the φ4-model equation) display a range of symmetry generators, inter alia, translations, Lorentz rotations and scaling - all of which are related to conservation laws. We do a study of the symmetries of a large class with a view to reduction and solution of these equations which has been analysed, to some extent, using other techniques giving rise to a different class of solutions.

Original language	English
Pages (from-to)	105-111
Number of pages	7
Journal	Journal of Nonlinear Mathematical Physics
Volume	15
Issue number	SUPPL.1
DOIs	https://doi.org/10.2991/jnmp.2008.15.s1.9
State	Published - Aug 2008

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.2991/jnmp.2008.15.s1.9

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abstract = "The nonlinear wave equation with variable long wave velocity and the Gordon-type equations (in particular, the φ4-model equation) display a range of symmetry generators, inter alia, translations, Lorentz rotations and scaling - all of which are related to conservation laws. We do a study of the symmetries of a large class with a view to reduction and solution of these equations which has been analysed, to some extent, using other techniques giving rise to a different class of solutions.",

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On the exact solutions of the nonlinear wave and φ4-model equations

Abstract

ASJC Scopus subject areas

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