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Title: Soliton resonance and web structure in the Davey–Stewartson system
Abstract We write down and characterize a large class of nonsingular multi-soliton solutions of the defocusing Davey–Stewartson II equation. In particular we study their asymptotics at space infinities as well as their interaction patterns in the xy -plane, and we identify several subclasses of solutions. Many of these solutions describe phenomena of soliton resonance and web structure. We identify a subclass of solutions that is the analogue of the soliton solutions of the Kadomtsev–Petviashvili II equation. In addition to this subclass, however, we show that more general solutions exist, describing phenomena that have no counterpart in the Kadomtsev–Petviashvili equation, including V-shape solutions and soliton reconnection.  more » « less
Award ID(s):
2009487
PAR ID:
10356874
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Journal of Physics A: Mathematical and Theoretical
Volume:
55
Issue:
30
ISSN:
1751-8113
Page Range / eLocation ID:
305701
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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