A discrete three-dimensional three wave interaction equation with self-consistent sources is constructed using the source generation procedure. The algebraic structure of the resulting fully discrete system is clarifi...A discrete three-dimensional three wave interaction equation with self-consistent sources is constructed using the source generation procedure. The algebraic structure of the resulting fully discrete system is clarified by presenting its discrete Gram-type determinant solution. It is shown that the discrete three-dimensional three wave interaction equation with self-consistent sources has a continuum limit into the three-dimensional three wave interaction equation with self-consistent sources.展开更多
基金Acknowledgements The first author would like to express her sincere thanks to Prof. Xing-Biao ttu for his helpful discussion and encouragement. This work was supported by the Program of Higher-level Talents of Inner Mongolia University （2011153, 21100-5145101）, the National Natural Science Foundation of China （Grant Nos. 11561048, 11547101） and the Natural Science Foundation of Inner Mongolia Autonomous Region （2015MS0116）.
文摘A discrete three-dimensional three wave interaction equation with self-consistent sources is constructed using the source generation procedure. The algebraic structure of the resulting fully discrete system is clarified by presenting its discrete Gram-type determinant solution. It is shown that the discrete three-dimensional three wave interaction equation with self-consistent sources has a continuum limit into the three-dimensional three wave interaction equation with self-consistent sources.
