TY - JOUR
T1 - On the three-dimensional three-wave equation with self-consistent sources
AU - Hu, Juan
AU - Hu, Xing Biao
AU - TAM, Hon Wah
N1 - Funding Information:
One of the authors (Juan Hu) would like to express her thanks to the anonymous referee for the helpful comments and valuable advices. This work was partially supported by the National Natural Science Foundation of China (Grant No. 11071241 ), the knowledge innovation program of the Institute of Computational Math. , AMSS , and Hong Kong Research Grant Council grant HKBU202209 .
PY - 2012/7/16
Y1 - 2012/7/16
N2 - In this Letter, a three-dimensional three-wave equation with self-consistent sources (3D3W ESCS) is constructed via the source generation procedure. The corresponding Grammian determinant solutions are then derived. As a simple case, the (1,1,1)-lump solution is subsequently examined. A new feature of this 3D3W ESCS is that we allow (a1X1+a 2X2+a3X3)-dependence of the arbitrary constants in the determinant solution for the three-dimensional three-wave equation while applying the source generation procedure. Finally, we show how this new system is reduced to other systems with self-consistent sources.
AB - In this Letter, a three-dimensional three-wave equation with self-consistent sources (3D3W ESCS) is constructed via the source generation procedure. The corresponding Grammian determinant solutions are then derived. As a simple case, the (1,1,1)-lump solution is subsequently examined. A new feature of this 3D3W ESCS is that we allow (a1X1+a 2X2+a3X3)-dependence of the arbitrary constants in the determinant solution for the three-dimensional three-wave equation while applying the source generation procedure. Finally, we show how this new system is reduced to other systems with self-consistent sources.
KW - Determinant solution
KW - Self-consistent sources
KW - Source generation procedure
KW - Three-dimensional three-wave equation
UR - http://www.scopus.com/inward/record.url?scp=84863203925&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2012.06.007
DO - 10.1016/j.physleta.2012.06.007
M3 - Article
AN - SCOPUS:84863203925
SN - 0375-9601
VL - 376
SP - 2402
EP - 2407
JO - Physics Letters A
JF - Physics Letters A
IS - 35
ER -