Title :
Auto-Bäcklund transformations for a group of nonlinear Klein-Gordon equations
Author_Institution :
Sch. of Sci., Shandong Polytech. Univ., Jinan, China
Abstract :
By means of classical method of undetermined coefficients, the generalized auto-Bäcklund transformations for a group of nonlinear Klein-Gordon(KG) equations are obtained. The basic idea and solution procedure is given in detail. And the auto-Bäcklund transformations for sine-Gordon(sG) equation and Liouville equation are given as examples.
Keywords :
Liouville equation; nonlinear equations; nonlinear programming; transforms; Auto-Bäcklund transformations; KG; Liouville equation; nonlinear Klein-Gordon equations; undetermined coefficients; Educational institutions; Equations; Inverse problems; Mathematical model; Solitons; Bäcklund transformation; Klein-Gordon equation; Liouville equation; sine-Gordon equation;
Conference_Titel :
Control and Decision Conference (CCDC), 2013 25th Chinese
Conference_Location :
Guiyang
Print_ISBN :
978-1-4673-5533-9
DOI :
10.1109/CCDC.2013.6561622
