4 research outputs found
A symmetry classification for a class of (2+1)-nonlinear wave equation
In this paper, a symmetry classification of a -nonlinear wave equation
where is a smooth function on , using
Lie group method, is given. The basic infinitesimal method for calculating
symmetry groups is presented, and used to determine the general symmetry group
of this -nonlinear wave equation
Symmetry group classification for general Burger's equation
The present paper solves the problem of the group classification of the
general Burgers' equation , where and are
arbitrary smooth functions of the variable and , by using Lie method.
The paper is one of the few applications of an algebraic approach to the
problem of group classification: the method of preliminary group
classification. A number of new interesting nonlinear invariant models which
have nontrivial invariance algebras are obtained. The result of the work is a
wide class of equations summarized in table form.Comment: 9 page