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Vol.1 , No. 1, Publication Date: Jul. 7, 2014, Page: 20-26
| [1] | Bharat Bhosale , S H Kelkar College of Arts, Commerce and Science, University of Mumbai, Devgad, India. |
Many physical phenomena are modeled with nonlinear partial differential equations that possess solitary wave solutions called solitons. Solitons exhibit Gaussian forms and in turn engender normal probability distributions. Moreover, solitons fluctuate randomly during evolution. These features intricately relate the solitons to wavelets, statistical distributions and random processes. In the present work, solitons arising as the solutions of Sine-Gordon equation, in particular, are studied from different perspectives treating the soliton evolution as random process. Moreover, useful statistical quantities are computed. In the end, potential applications in spectral data processing involving soliton evolution are explored.
Keywords
Solitons, Wavelet Transform, Normal Probability Distribution, Random Processes
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