Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/26942
Title: Propagating wave patterns for the 'resonant' Davey-Stewartson system
Authors: Tang, XY
Chow, KW
Rogers, C
Issue Date: 2009
Publisher: Pergamon Press
Source: Chaos, solitons and fractals, 2009, v. 42, no. 5, p. 2707-2712 How to cite?
Journal: Chaos, solitons and fractals 
Abstract: The resonant nonlinear Schrödinger (RNLS) equation exhibits the usual cubic nonlinearity present in the classical nonlinear Schrödinger (NLS) equation together with an additional nonlinear term involving the modulus of the wave envelope. It arises in the context of the propagation of long magneto-acoustic waves in cold, collisionless plasma and in capillarity theory. Here, a natural (2 + 1) (2 spatial and 1 temporal)-dimensional version of the RNLS equation is introduced, termed the 'resonant' Davey-Stewartson system. The multi-linear variable separation approach is used to generate a class of exact solutions, which will describe propagating, doubly periodic wave patterns.
URI: http://hdl.handle.net/10397/26942
ISSN: 0960-0779
EISSN: 1873-2887
DOI: 10.1016/j.chaos.2009.03.146
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