Trilinear equations, Bell polynomials, and resonant solutions

被引：0
作者：
Wen-Xiu Ma
机构：
[1] University of South Florida,Department of Mathematics and Statistics
来源：
Frontiers of Mathematics in China | 2013年 / 8卷
关键词：
Trilinear differential equation; Bell polynomial; superposition principle; 35Q51; 37K40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A class of trilinear differential operators is introduced through a technique of assigning signs to derivatives and used to create trilinear differential equations. The resulting trilinear differential operators and equations are characterized by the Bell polynomials, and the superposition principle is applied to the construction of resonant solutions of exponential waves. Two illustrative examples are made by an algorithm using weights of dependent variables.
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页码：1139 / 1156
页数：17
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