The Gardner method for symmetries

Details The Gardner method for symmetries The Gardner method for symmetries

2011-02-13

arxiv.org/abs/1102.2591v4

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

The Gardner method, traditionally used to generate conservation laws of integrable equations, is generalized to generate symmetries. The method is demonstrated for the KdV, Camassa-Holm and Sine-Gordon equations. The method involves identifying a symmetry which depends upon a parameter; expansion of this symmetry in a (formal) power series in the parameter then gives the usual infinite hierarchy of symmetries. We show that the obtained symmetries commute, discuss the relation of the Gardner method with Lenard recursion (both for generating symmetries and conservation laws), and also the connection between the symmetries of continuous integrable equations and their discrete analogs.

Affiliated with

Also associated with

No associations

Rating

The Gardner method for symmetries 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 The Gardner method for symmetries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Gardner method for symmetries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-364