IJPAM: Volume 59, No. 3 (2010)

REPRESENTATION OF COMBUSTION WAVES
BY USE OF WAVE SOLUTIONS

V.V. Gudkov
Institute of Mathematics and Computer Science
University of Latvia
29, Rainis Boulevard, Riga LV-1459, LATVIA
e-mail: [email protected]


Abstract.Two-dimensional system of heat and diffusion equations is considered. For the polynomial reaction-rate function the exact solutions of the system are constructed. A linear relation between these solutions and the matrix solutions of the nonlinear wave equations is determined. The petalled forms of composition of combustion waves are described and their graphic representations are given. The spiral form of solutions for particular case of the system is defined.

Received: January 12, 2010

AMS Subject Classification: 82C10

Key Words and Phrases: combustion wave, heat and diffusion equation, matrix solution, nonlinear wave equation, spiral and petalled form

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 59
Issue: 3