Wave growth patterns in a non-linear dispersive system with instability and dissipation

Dinesh Gera, Mridul Gautam and Hota V. S. Gangarao

International Journal of Mathematics and Mathematical Sciences, 1997, vol. 20, 1-6

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.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:905892

DOI: 10.1155/S0161171297000811

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