caa a22 4500 475805224 CHVBK 20180406123745.0 cr unu---uuuuu 170329e20000201xx s 000 0 eng 10.1007/s003329910001 doi (NATIONALLICENCE)springer-10.1007/s003329910001 Numerical Solution of Some Nonlocal, Nonlinear Dispersive Wave Equations [Elektronische Daten] [B. Pelloni, V. A. Dougalis] Summary. : We use a spectral method to solve numerically two nonlocal, nonlinear, dispersive, integrable wave equations, the Benjamin-Ono and the Intermediate Long Wave equations. The proposed numerical method is able to capture well the dynamics of the solutions; we use it to investigate the behaviour of solitary wave solutions of the equations with special attention to those, among the properties usually connected with integrability, for which there is at present no analytic proof. Thus we study in particular the resolution property of arbitrary initial profiles into sequences of solitary waves for both equations and clean interaction of Benjamin-Ono solitary waves. We also verify numerically that the behaviour of the solution of the Intermediate Long Wave equation as the model parameter tends to the infinite depth limit is the one predicted by the theory. Springer-Verlag New York Inc., 2000 Pelloni B. Department of Mathematics, Imperial College of Science, Technology and Medicine, London SW7 2BZ, UK, GB aut Dougalis V. A. Department of Mathematics, University of Athens, Panepistemiopolis, Zographou 15784, Greece, GR aut Journal of Nonlinear Science Springer-Verlag 10/1(2000-02-01), 1-22 0938-8974 10:1<1 2000 10 332 https://doi.org/10.1007/s003329910001 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s003329910001 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Pelloni B. Department of Mathematics, Imperial College of Science, Technology and Medicine, London SW7 2BZ, UK, GB aut NATIONALLICENCE 700 1- Dougalis V. A. Department of Mathematics, University of Athens, Panepistemiopolis, Zographou 15784, Greece, GR aut NATIONALLICENCE 773 0- Journal of Nonlinear Science Springer-Verlag 10/1(2000-02-01), 1-22 0938-8974 10:1<1 2000 10 332 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer