Second-order approximate symmetry classification and optimal system of a class of perturbed nonlinear wave equations

✍ Scribed by Zhiyong Zhang; Ben Gao; Yufu Chen

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 262 KB
• Volume: 16
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2010.10.012

✦ Synopsis

A complete second-order approximate symmetry classification of a class of perturbed nonlinear wave equations with a arbitrary function is performed by means of the method originated from Fushchich and Shtelen. An optimal system of one-dimensional subalgebras is given. Based on the Lie symmetry reduction method, large classes of approximate reductions and invariant solutions of the equations are constructed.