TY - JOUR
T1 - Bright-dark mixed n-Soliton solution of two-dimensional multicomponent maccari system
AU - Han, Zhong
AU - Chen, Yong
N1 - Publisher Copyright:
© 2017 Walter de Gruyter GmbH, Berlin/Boston.
PY - 2017/8/28
Y1 - 2017/8/28
N2 - Based on the KP hierarchy reduction method, we construct the general bright-dark mixed N-soliton solution of the two-dimensional (2D) (M+1)-component Maccari system comprised of M-component short waves (SWs) and one-component long wave (LW) with all possible combinations of nonlinearities. We firstly consider two types of mixed N-soliton solutions (two-bright-one-dark and one-bright-Two-dark solitons in SW components) to the (3+1)-component Maccari system in detail. Then by extending our analysis to the (M+1)-component Maccari system, its general m-bright-(M-m)-dark mixed N-soliton solution is obtained. The formula obtained also contains the general all-bright and all-dark N-soliton solutions as special cases. For the two-bright-one-dark mixed soliton solution of the (3+1)-component Maccari system, it can be shown that solioff excitation and solioff interaction take place in the two SW components supporting bright solitons, whereas the SW component supporting dark solitons and the LW component possess V-Type solitary and interaction.
AB - Based on the KP hierarchy reduction method, we construct the general bright-dark mixed N-soliton solution of the two-dimensional (2D) (M+1)-component Maccari system comprised of M-component short waves (SWs) and one-component long wave (LW) with all possible combinations of nonlinearities. We firstly consider two types of mixed N-soliton solutions (two-bright-one-dark and one-bright-Two-dark solitons in SW components) to the (3+1)-component Maccari system in detail. Then by extending our analysis to the (M+1)-component Maccari system, its general m-bright-(M-m)-dark mixed N-soliton solution is obtained. The formula obtained also contains the general all-bright and all-dark N-soliton solutions as special cases. For the two-bright-one-dark mixed soliton solution of the (3+1)-component Maccari system, it can be shown that solioff excitation and solioff interaction take place in the two SW components supporting bright solitons, whereas the SW component supporting dark solitons and the LW component possess V-Type solitary and interaction.
KW - Bright-Dark N-Soliton
KW - KP Hierarchy Reduction Method
KW - Multi-Component Maccari System
KW - τ Function
UR - https://www.scopus.com/pages/publications/85027045098
U2 - 10.1515/zna-2017-0133
DO - 10.1515/zna-2017-0133
M3 - 文章
AN - SCOPUS:85027045098
SN - 0932-0784
VL - 72
SP - 745
EP - 755
JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
IS - 8
ER -