International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 3, Pages 599-604
Wave growth patterns in a non-linear dispersive system with instability and dissipation
1Department of Mechanical & Aerospace Engineering, West Virginia University, Morgantown 26506, WV, USA
2CFC, Department of Civil Engineering, West Virginia University, Morgantown 26506, WV, USA
Received 30 November 1995
Copyright © 1997 Dinesh Gera et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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 , , and 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.