Similarity Analysis of Nonlinear Equations and Bases of Finite Wavelength Solitons
Ludu, A. ; Stoitcheva, G. ; Draayer, J. P.
arXiv, 0003030 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-03-25
Classification:  Mathematical Physics,  Mathematics - Dynamical Systems,  Nonlinear Sciences - Pattern Formation and Solitons 
@article{0003030,
     author = {Ludu, A. and Stoitcheva, G. and Draayer, J. P.},
     title = {Similarity Analysis of Nonlinear Equations and Bases of Finite
  Wavelength Solitons},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0003030}
}

Ludu, A.; Stoitcheva, G.; Draayer, J. P. Similarity Analysis of Nonlinear Equations and Bases of Finite
  Wavelength Solitons. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0003030/