A direct method for dromion solutions of the Davey-Stewartson equations and their asymptotic properties
- 8 November 1991
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
- Vol. 435 (1894) , 339-357
- https://doi.org/10.1098/rspa.1991.0148
Abstract
A new direct approach to determining a class of solutions, including the dromion solutions, of the Davey-Stewartson equations is presented. The form of solution obtained allows a detailed asymptotic analysis of the dromion solutions and compact expression for the phase shifts and changes of amplitude as a result of interaction of the dromions to be determined. A class of solutions describing dromion scattering is discussed and computer plots of the interactions of such solutions are presented.Keywords
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