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
收藏
页码：105 / 111
页数：7
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