TY - JOUR
T1 - Propagating wave patterns for the 'resonant' Davey-Stewartson system
AU - Tang, X. Y.
AU - Chow, K. W.
AU - Rogers, C.
PY - 2009/12/15
Y1 - 2009/12/15
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/67651202366
U2 - 10.1016/j.chaos.2009.03.146
DO - 10.1016/j.chaos.2009.03.146
M3 - 文章
AN - SCOPUS:67651202366
SN - 0960-0779
VL - 42
SP - 2707
EP - 2712
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 5
ER -