An algebraic method for solving the multiwave Helmholtz equation

被引：0
|
作者：
Pogorui, A. A. [1 ]
Rodriguez-Dagnino, R. M. [1 ]
机构：
[1] Monterrey Inst Technol, Monterrey, NL, Mexico
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2012年 / 57卷 / 7-8期
关键词：
Helmholtz equation; multiwave equation; Cayley table; hypercomplex numbers;
D O I：
10.1080/17476933.2011.605447
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we solve the multiwave Helmholtz equation in two variables by applying hypercomplex numbers defining a commutative algebra. We find Cauchy-Riemann type conditions and we present detailed solutions expressed in terms of two-dimensional Bessel functions for the special case of two-wave Helmholtz equation.
引用
收藏
页码：763 / 769
页数：7
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