EFFECT OF COUNTERPROPAGATING CAPILLARY GRAVITY WAVE PACKETS ON THIRD ORDER NONLINEAR ‎‎E‎VOLUTION EQUATIONS IN THE PRESENCE OF WIND FLOWING OVER WATER

Authors

IIEST,WESTBENGAL,INDIA India IIEST,MATHEMATICS,SHIBPUR,WESTBENGAL, INDIA

Abstract

Asymptotically exact and nonlocal third order nonlinear evolution equations are derived
for two counterpropagating surface capillary gravity wave packets in deep water in the
presence of wind flowing over water.From these evolution equations stability analysis is
made for a uniform standing surface capillary gravity wave trains for longitudinal perturbation. Instability condition is obtained and graphs are plotted for maximum growth rateof instability and for wave number at marginal stability against wave steepness for some different values of dimensionless wind velocity.