Title :
The linearization of equations and the conjugate factors
Author :
Huai Yu Wen ; Guang Chun Luo ; Jian Ping Li
Author_Institution :
Sch. of Comput. Sci., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
Abstract :
The linearization of the differential equations is always the important work in the study of partial differential equations. In this paper, a necessary and sufficient condition is established for the existence of a 1-1 transformation of a system of nonlinear differential equations to a system of linear equations is shown with some examples including Burgers´ equation and the Liouville equation.
Keywords :
nonlinear differential equations; partial differential equations; 1-1 transformation; Burgers´ equation; Liouville equation; conjugate factors; differential equation linearization; linear equations; nonlinear differential equations; partial differential equations; Computers; Educational institutions; Equations; Mathematical model; Partial differential equations; Sufficient conditions; conjugate factors; linearization of equations; necessary and sufficient condition;
Conference_Titel :
Wavelet Active Media Technology and Information Processing (ICCWAMTIP), 2013 10th International Computer Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4799-2445-5
DOI :
10.1109/ICCWAMTIP.2013.6716663
