On the Exact Solutions of the Nonlinear Wave and φ4-Model Equations

被引：2

作者：

Kara, A. H. ^{[1
,2
]}

Bokhari, A. H. ^{[3
]}

Zaman, F. D. ^{[3
]}

机构：

[1] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa

[2] Univ Witwatersrand, Ctr Differential Equat Continuum Mech & Applicat, ZA-2050 Johannesburg, South Africa

[3] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2008年 / 15卷 / Suppl 1期

关键词：

D O I：

10.2991/jnmp.2008.15.s1.9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The nonlinear wave equation with variable long wave velocity and the Gordon-type equations (in particular, the phi 4-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.

引用

页码：105 / 111

页数：7

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