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

VL - 376

SP - 2402

EP - 2407

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 35

ER -