Mathematics
Scientific paper
Sep 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984ieeep..72.1109k&link_type=abstract
IEEE, Proceedings (ISSN 0018-9219), vol. 72, Sept. 1984, p. 1109-1130.
Mathematics
15
Heuristic Methods, Nonlinear Equations, Solitary Waves, Wave Dispersion, Wave Equations, Electromagnetic Pulses, Field Theory (Physics), Operators (Mathematics), Propagation Velocity
Scientific paper
In this paper a heuristic way of constructing nonlinear dispersive equations that lead to soliton or soliton-type solutions is presented. It is assumed only that a general knowledge of the dispersion relation of the system is known, together with some insight into the effect of nonlinearity on wave speed. It is shown that such knowledge is sufficient to derive most known soliton equations and thus to provide the engineer with a quick way to assess whether or not his particular system is likely to exhibit soliton behavior. Naturally, a more detailed description requires knowledge of the basic equations governing the system and special techniques to handle initial conditions. To that purpose the reader is provided with ample references which he may want to consult in order to augment the information gained by the method outlined in this paper.
Banerjee Palash
Korpel A.
No associations
LandOfFree
A heuristic guide to nonlinear dispersive wave equations and soliton-type solutions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A heuristic guide to nonlinear dispersive wave equations and soliton-type solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A heuristic guide to nonlinear dispersive wave equations and soliton-type solutions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1395546