%0 Journal Article %T Linear stability analysis and homoclinic orbit for a generalized non-linear heat transfer %A Liu Jun %A Liu Xi %A Mu Gui %A Xie Litao %J Thermal Science %D 2012 %I VIN?A Institute of Nuclear Sciences %R 10.2298/tsci1205556l %X This paper studies the linear stability and dynamic structure for a generalized non-linear heat equation, and obtains novel analytic solutions such as homoclinc orbit and breather solitary solutions for the first time based on Hirota method. %K non-linear equation %K homoclinc orbit %K breather solitary %U http://www.doiserbia.nb.rs/img/doi/0354-9836/2012/0354-98361205556L.pdf