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

页码：763 / 769

页数：7

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