Abstract
New classes of exact solutions of nonlinear sets of equations of the theory of heat and mass transfer in reactive media and mathematical biology are described. Various sets of the general form are considered, in which the chemical reaction rates depend on two or three arbitrary functions. Among the exact solutions obtained are solutions with ordinary, generalized, and functional separation of variables; time–periodic solutions; solutions that are periodic in the spatial coordinate; etc. A number of solutions contain arbitrary functions (they are expressed in terms of solutions of the linear heat equation and solutions of sets of ordinary differential equations). Sets describing the multicomponent reaction—diffusion and also some sets in several spatial variables are studied.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
