STABILITY ANALYSIS FROM FOURTH ORDER NONLINEAR EVOLUTION EQUATIONS FOR TWO CAPILLARY GRAVITY WAVE PACKETS IN THE PRESENCE OF WIND FLOWING OVER WATER

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MONDAL J.; DHAR A.K.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2016 | Volume:6 | Issue:2 Page(s): 129-147

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Title

STABILITY ANALYSIS FROM FOURTH ORDER NONLINEAR EVOLUTION EQUATIONS FOR TWO CAPILLARY GRAVITY WAVE PACKETS IN THE PRESENCE OF WIND FLOWING OVER WATER

Author(s)

MONDAL J. | DHAR A.K. | Issue Writer Certificate

Keywords

NONLOCAL NONLINEAR EVOLUTION EQUATIONS

CAPILLARY GRAVITY WAVE

GROWTH RATE OF INSTABILITY

MARGINAL STABILITY

WAVE STEEPNESS

Abstract

Asymptotically exact and nonlocal fourth order nonlinear evolution equations are derived for two coupled fourth order nonlinear evolution equations have been derived in deep water for two capillary-gravity wave packets propagating in the same direction in the presence of wind owing over water. We have used a general method, based on Zakharov integral equation. On the basis of these evolution equations, the stability analysis is made for a uniform CAPILLARY GRAVITY WAVE train in the presence of another wave train having the same group velocity. Instability condition is obtained and graphs are plotted for maximum GROWTH RATE OF INSTABILITY and for wave number at MARGINAL STABILITY against WAVE STEEPNESS for some different values of dimensionless wind velocity.

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References

STABILITY ANALYSIS FROM FOURTH ORDER EVOLUTION EQUATION FOR COUNTER-PROPAGATING GRAVITY WAVE PACKETS IN THE PRESENCE OF WIND OWING OVER WATER

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APA: Copy

MONDAL, J., & DHAR, A.K.. (2016). STABILITY ANALYSIS FROM FOURTH ORDER NONLINEAR EVOLUTION EQUATIONS FOR TWO CAPILLARY GRAVITY WAVE PACKETS IN THE PRESENCE OF WIND FLOWING OVER WATER. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 6(2), 129-147. SID. https://sid.ir/paper/328343/en

Vancouver: Copy

MONDAL J., DHAR A.K.. STABILITY ANALYSIS FROM FOURTH ORDER NONLINEAR EVOLUTION EQUATIONS FOR TWO CAPILLARY GRAVITY WAVE PACKETS IN THE PRESENCE OF WIND FLOWING OVER WATER. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2016;6(2):129-147. Available from: https://sid.ir/paper/328343/en

IEEE: Copy

J. MONDAL, and A.K. DHAR, “STABILITY ANALYSIS FROM FOURTH ORDER NONLINEAR EVOLUTION EQUATIONS FOR TWO CAPILLARY GRAVITY WAVE PACKETS IN THE PRESENCE OF WIND FLOWING OVER WATER,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 6, no. 2, pp. 129–147, 2016, [Online]. Available: https://sid.ir/paper/328343/en

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