LEVEL CROSSING ANALYSIS OF THE BENJAMIN-BONA-MAHONY-BURGERS EQUATION IN (1+1) DIMENSION

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SOLTANI M.R.; MASOUDI A.A.

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Journal: JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY) Year:2009 | Volume:19 | Issue:71 (PHYSIC ISSUE) Page(s): 27-34

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Title

LEVEL CROSSING ANALYSIS OF THE BENJAMIN-BONA-MAHONY-BURGERS EQUATION IN (1+1) DIMENSION

Author(s)

SOLTANI M.R. | MASOUDI A.A. | Issue Writer Certificate

Keywords

LEVEL CROSSINGQ3

OF BENJAMIN-BONA-MAHONY-BURGERS EQUATIONQ3

Abstract

Introduction: In this paper we are planing to study the mean positive slopes which produced when the fluctuations of the velocity of a turbluent fluid is crossed by the level ux-u̅x=a in the Benjamin-Bona-Mahony-Burgers (BBM-B) equation. Here we just consentrate to the high Reynolde number limit and do the LEVEL CROSSING analysis where, a®0, b®0 (before the appearance of the schocks) Over aim in this paper is to show how the quantity Va+ counts the fluctuations of the velocity in the Benjamin-Bona-Mahony-Burgers tutbulence.Aim: we calculated the mean positive slopes in the Benjamin-Bona-Mahony-Burgers equation in (1+1) dimensions using stochastic process methods.Materials and Method: In the Benjamin-Bona-Mahony-Burgers equation in (1+1) dimensions with stochastic force when the fluctuation of the velocity of a turbulent fluid is crossed by the level ux-u̅x=a we calculated the mean positive slopes crossing by the level ux-u̅x=a.Results: In this paper we study OF BENJAMIN-BONA-MAHONY-BURGERS EQUATION in (1+1) dimensions with Gaussian correlated in space also we determined the average frequency of a positive slope when a certain level crosses the velocity in the BBM-B equation. The integral representation of Va+ was given for BBM-B equation in the zero dispersion limit before the creation of shocks and it was shown that the velocity dependence of the Va+ is Gaussian after all we have found that the total creation number of positive slopes for the BBM-b equation in the zero dispersion limit and before the creation of shocks scale as t1/2Conclusion: In this paper we study OF BENJAMIN-BONA-MAHONY-BURGERS EQUATION in (1+1) dimensions with Gaussian correlated in space also we determined the average frequency of a positive slope when a certain level crosses the velocity in the BBM-B equation. The integral representation of Va+ was given for BBM-B equation in the zero dispersion limit before the creation of shocks and it was shown that the velocity dependence of the Va+ is Gaussian after all we have found that the total creation number of positive slopes for the BBM-b equation in the zero dispersion limit and before the creation of shocks scale as t1/2.

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APA: Copy

SOLTANI, M.R., & MASOUDI, A.A.. (2009). LEVEL CROSSING ANALYSIS OF THE BENJAMIN-BONA-MAHONY-BURGERS EQUATION IN (1+1) DIMENSION. JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY), 19(71 (PHYSIC ISSUE)), 27-34. SID. https://sid.ir/paper/70275/en

Vancouver: Copy

SOLTANI M.R., MASOUDI A.A.. LEVEL CROSSING ANALYSIS OF THE BENJAMIN-BONA-MAHONY-BURGERS EQUATION IN (1+1) DIMENSION. JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY)[Internet]. 2009;19(71 (PHYSIC ISSUE)):27-34. Available from: https://sid.ir/paper/70275/en

IEEE: Copy

M.R. SOLTANI, and A.A. MASOUDI, “LEVEL CROSSING ANALYSIS OF THE BENJAMIN-BONA-MAHONY-BURGERS EQUATION IN (1+1) DIMENSION,” JOURNAL OF SCIENCES (ISLAMIC AZAD UNIVERSITY), vol. 19, no. 71 (PHYSIC ISSUE), pp. 27–34, 2009, [Online]. Available: https://sid.ir/paper/70275/en

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