Finite size effects at nonlinearly bending solitary pulses |
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| Institution: | 1. Department of Archaeologies, ATRIUM Centre for Ancient Cultures, University of Innsbruck, Langer Weg 11, 6020 Innsbruck, Austria;2. Department of Geosciences, University of Padova, Via Gradenigo 6, 35131 Padova, Italy;3. Department of Earth and Sea Sciences (DiSTeM), University of Palermo, Via Archirafi 22, 90123 Palermo, Italy;4. Department of Cultural Heritage, University of Padova, Piazza Capitaniato 7, 35139 Padova, Italy |
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| Abstract: | One-dimensional solitary wave solutions of the Kadomtsev-Petviashvili equation are unstable to long-wavelength transverse disturbances. Here, the nonlinear development of the instability is investigated. The results depend on the size of the system as well as on the allowed perturbation wavelengths. The analytical predictions are compared with numerical simulations. |
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