Discrete three-dimensional three wave interaction equation with self-consistent sources

作     者：Gegenhasi Zhaowen YAN 

作者机构：School of Mathematical Science Inner Mongolia University Hohhot 010021 China 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2016年第11卷第6期

页      面：1501-1513页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 

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) 

主　　题：Discrete three-dimensional three wave interaction equation self-consistent sources source generalization procedure discrete Gram-type determinant 

摘      要：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.