Identification and determination of solitary wave structures in nonlinear wave propagation
Abstract
Nonlinear wave phenomena are characterized by the appearance of solitary wave coherent structures traveling at speeds determined by their amplitudes and morphologies. Assuming that these structures are briefly noninteracting, a method is proposed for the identification of the number of independent features and their respective speeds. Using data generated from an exact two-soliton solution to the Korteweg-deVries equation, the method is tested and its strengths and limitations are discussed.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- January 1991
- Bibcode:
- 1991STIN...9118400N
- Keywords:
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- Korteweg-Devries Equation;
- Traveling Waves;
- Wave Propagation;
- Calculus Of Variations;
- Fourier Transformation;
- Nonlinearity;
- Velocity;
- Fluid Mechanics and Heat Transfer