Conditional stability of solitary-wave solutions for generalized Boussinesq equations

Abstract: In this paper, we discuss conditional stability of solitary-wave solutions in the sense of Liapunov for the Boussinesq equations with and without dissipative term. Linear stability of the exact solitary-wave solutions is shown for the two Boussinesq equations mentioned above, when small disturbance in travelling wave form satisfies certain conditions. [Copyright &y& Elsevier]