ABSTRACT
If the first (resp., second) component is quiescent, then a1 = 0 (resp., a2 = 0). This kind of system is invariant under translations in the independent variables and,
hence, admit traveling-wave solutions: u = u(kx – λt) and w = w(kx – λt). Neither these solutions nor degenerate solutions, where one of the desired functions is identically zero or constant, are considered in what follows.
