Non-regular (non-Stäckel) R-separation and general modulated soliton of wave equation

Details Non-regular (non-Stäckel) R-separation and general modulated soliton of wave equation Non-regular (non-Stäckel) R-separation and general modulated soliton of wave equation

2004-02-20

arxiv.org/abs/nlin/0402035v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

5 pages, 1 figure

Scientific paper

We present a class of orthogonal non-regular in a sense of Kalnins and Miller (hence non-St\"ackel) coordinates which are R-separable in 3-dim. Helmholtz equation. One family of parametric surfaces consists of parallel Dupin cyclides, the other two consist of circular cones. This coordinate system is used to simplify derivation of Friedlander's formulae for a general "simple progressive solution of the wave equation" (modulated soliton of wave equation) in $E^3$ and to correct some errors of his paper. The extended version of the paper will be published soon.

Affiliated with

Also associated with

No associations

Rating

Non-regular (non-Stäckel) R-separation and general modulated soliton of wave equation 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 Non-regular (non-Stäckel) R-separation and general modulated soliton of wave equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-regular (non-Stäckel) R-separation and general modulated soliton of wave equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-709377