International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 3, Pages 599-604
doi:10.1155/S0161171297000811
Wave growth patterns in a nonlinear dispersive system with instability and dissipation
Dinesh Gera
, Mridul Gautam
and Hota V.S. Gangarao
Department of Mechanical \& Aerospace Engineering, West Virginia University, Morgantown 26506, WV, USA
Abstract
A simple one-dimensional non linear equation including effects of instability, dissipation, and dispersion is examined numerically. Periodic solution of a non linear dispersive equation is presented for different values of α, β, and γ characterizing the constants for instability, dissipation, and dispersion respectively. In this paper, the growth pattern for the wave at different time intervals is discussed. Various equilibrium states with different initial configuration have been observed depending on initial conditions.