Title :
An integrating factor to find the canonical variables of a class of wave equations
Author_Institution :
Dept. of Electr. Eng., Toledo Univ., OH, USA
fDate :
June 28 1993-July 2 1993
Abstract :
A method to facilitate the determination of canonical variables of the one-dimensional wave equation in nonhomogeneous media is presented. In order to solve the second-order hyperbolic partial differential equation a transformation from the independent real variables x and y to two canonical variables is used. A method is presented which shows a way of determining a solution when the wave-speed function /spl sigma/(x,y) meets certain requirements on continuity, and the function u(x,y) meets certain integrability requirements. The method depends on finding an integrating factor, f(x,y).<>
Keywords :
electromagnetic wave propagation; hyperbolic equations; integration; wave equations; canonical variables; continuity; integrating factor; nonhomogeneous media; one-dimensional wave equation; second-order hyperbolic partial differential equation; transformation; wave-speed function; Differential equations; Lagrangian functions; Nonhomogeneous media; Partial differential equations;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1993. AP-S. Digest
Conference_Location :
Ann Arbor, MI, USA
Print_ISBN :
0-7803-1246-5
DOI :
10.1109/APS.1993.385374
