TY - JOUR TI - Linear stability analysis and homoclinic orbit for a generalized non-linear heat transfer AU - Liu Jun AU - Liu Xi AU - Mu Gui AU - Xie Litao JN - Thermal Science PY - 2012 VL - 16 IS - 5 SP - 1556 EP - 1559 PT - Article AB - 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.