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

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DHAR A.K.; MONDAL J.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2015 | Volume:5 | Issue:3 Page(s): 277-289

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Title

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

Author(s)

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

Keywords

NONLOCAL NONLINEAR EVOLUTION EQUATIONS

CAPILLARY GRAVITY WAVE

GROWTH RATE OF INSTABILITY

MARGINAL STABILITY

WAVE STEEPNESS

Abstract

Asymptotically exact and nonlocal third order nonlinear evolution equations are derived for two counter propagating surface CAPILLARY GRAVITY WAVE packets in deep water in the presence of wind owing 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 RATE OF INSTABILITY and for wave number at MARGINAL STABILITY against WAVE STEEPNESS for some different values of dimensionless wind velocity.

Cites

SLIDING MODE CONTROL BASED ON FRACTIONAL ORDER CALCULUS FOR DC-DC CONVERTERS

References

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APA: Copy

DHAR, A.K., & MONDAL, J.. (2015). EFFECT OF COUNTER PROPAGATING CAPILLARY GRAVITY WAVE PACKETS ON THIRD ORDER NONLINEAR EVOLUTION EQUATIONS IN THE PRESENCE OF WIND FLOWING OVER WATER. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 5(3), 277-289. SID. https://sid.ir/paper/328370/en

Vancouver: Copy

DHAR A.K., MONDAL J.. EFFECT OF COUNTER PROPAGATING CAPILLARY GRAVITY WAVE PACKETS ON THIRD ORDER NONLINEAR EVOLUTION EQUATIONS IN THE PRESENCE OF WIND FLOWING OVER WATER. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2015;5(3):277-289. Available from: https://sid.ir/paper/328370/en

IEEE: Copy

A.K. DHAR, and J. MONDAL, “EFFECT OF COUNTER PROPAGATING CAPILLARY GRAVITY WAVE PACKETS ON THIRD ORDER NONLINEAR EVOLUTION EQUATIONS IN THE PRESENCE OF WIND FLOWING OVER WATER,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 5, no. 3, pp. 277–289, 2015, [Online]. Available: https://sid.ir/paper/328370/en

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