IJPAM: Volume 97, No. 3 (2014)
THREE DIMENSIONAL WAVE EQUATIONS
UNESP - São Paulo State University
S.J. Rio Preto Campus
15054-000, São José do Rio Preto, BRAZIL
Department of Mathematics
Federal University of Maranhão - São Luís-MA
65085-580, Maranhão, BRAZIL
Department of Mathematics and Informatic
State University of Maranhão - São Luís-MA
65000-001, Maranhão, BRAZIL
Abstract. The present work has the scope to show the relationship between four three-dimensional waves. This fact will be made in the form of coupling, using for it the Cauchy-Riemann conditions for quaternionic functions [#!BorgesZeMarcio!#], through certain Laplace's equation in [#!MaraoBorgesLP!#]. The coupling will relate those functions that determine the wave as well as their respective propagation speeds.
Received: December 13, 2013
AMS Subject Classification: 30G99, 30E99
Key Words and Phrases: coupling, coupling wave equations in three dimensional space
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DOI: 10.12732/ijpam.v97i3.1 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 263 - 271