Nonlinear equations and wavelets

  • Authors:
  • A. Ludu;R. F. O'Connell;J. P. Draayer

  • Affiliations:
  • Department of Chemistry and Physics, Northwestern State University, Natchitoches, LA;Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA;Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA

  • Venue:
  • Mathematics and Computers in Simulation - Nonlinear waves: computation and theory II
  • Year:
  • 2003

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Abstract

We use a multi-scale similarity analysis which gives specific relations between the velocity, amplitude and width of localized solutions of nonlinear differential equations, whose exact solutions are generally difficult to obtain.