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

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  • Dinesh Gera
  • Mridul Gautam
  • Hota V. S. Gangarao

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.

Suggested Citation

  • Dinesh Gera & Mridul Gautam & Hota V. S. Gangarao, 1997. "Wave growth patterns in a non-linear dispersive system with instability and dissipation," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 20, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:905892
    DOI: 10.1155/S0161171297000811
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