TY - JOUR
T1 - Static Solutions of Mixed Burgers-KdV Equation II
AU - Guan Keying
JO - Journal of Partial Differential Equations
VL - 2
SP - 27
EP - 40
PY - 1990
DA - 1990/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5796.html
KW - Boundary conditions
KW -  number of static solutions
KW -  global stability
KW -  dissipation
KW -  dispersion
AB -  Based on the method of qualitative research in ordinary differential equations, lt is proved that, for any given positive &#946 and &#978, and for any given real a, b and c, the Burgers-KdV equation u_t + uu_x - &#978u_{xx} + &#946u_{xxx} = 0 has at least one, but at most finite Static solutions satisfying the same boundary conditions u(0, t) = a,u(1, t) = b \quad and u_x(1, t) = c on the interval [0, 1] of x. Some sufficient conditions on the global stability for certain statle solutions are given.