Similarity Analysis of Nonlinear Equations and Bases of Finite Wavelength Solitons

Details Similarity Analysis of Nonlinear Equations and Bases of Finite Wavelength Solitons Similarity Analysis of Nonlinear Equations and Bases of Finite Wavelength Solitons

2000-03-26

arxiv.org/abs/math-ph/0003030v2

Physics

Mathematical Physics

18 pages Latex, 6 figures eps

Scientific paper

10.1142/S0218301300000167

We introduce a generalized similarity analysis which grants a qualitative description of the localised solutions of any nonlinear differential equation. This procedure provides relations between amplitude, width, and velocity of the solutions, and it is shown to be useful in analysing nonlinear structures like solitons, dublets, triplets, compact supported solitons and other patterns. We also introduce kink-antikink compact solutions for a nonlinear-nonlinear dispersion equation, and we construct a basis of finite wavelength functions having self-similar properties.

Affiliated with

Also associated with

No associations

Rating

Similarity Analysis of Nonlinear Equations and Bases of Finite Wavelength Solitons 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 Similarity Analysis of Nonlinear Equations and Bases of Finite Wavelength Solitons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Similarity Analysis of Nonlinear Equations and Bases of Finite Wavelength Solitons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-39081