A precise definition of reduction of partial differential equations

Details A precise definition of reduction of partial differential equations A precise definition of reduction of partial differential equations

2002-07-18

arxiv.org/abs/math-ph/0207023v1

J. Math. Anal. Appl. 238 (1999), 101-123

Physics

Mathematical Physics

LaTeX, 21 pages

Scientific paper

10.1006/jmaa.1999.6511

We give a comprehensive analysis of interrelations between the basic concepts of the modern theory of symmetry (classical and non-classical) reductions of partial differential equations. Using the introduced definition of reduction of differential equations we establish equivalence of the non-classical (conditional symmetry) and direct (Ansatz) approaches to reduction of partial differential equations. As an illustration we give an example of non-classical reduction of the nonlinear wave equation in (1+3) dimensions. The conditional symmetry approach when applied to the equation in question yields a number of non-Lie reductions which are far-reaching generalization of the well-known symmetry reductions of the nonlinear wave equations.

Affiliated with

Also associated with

No associations

Rating

A precise definition of reduction of partial differential equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A precise definition of reduction of partial differential equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A precise definition of reduction of partial differential equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-209853