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Register a new userFinding the Necessary Conditions for the Existence of the Dark Soliton Solution to the Vakhnenko-Parkes Equation with Variable Coefficients and with Power Law Nonlinearity
إيجاد الشروط اللازمة لوجود حل ذو موجة منعزلة مظلمة لمعادلة فاخنينكو- باركس ذات الأمثال المتغيرة مع لا خطية قانون الطاقة
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Tishreen University ورقة بحثية
Publication date
2020
fields
Mathematics
and research's language is
العربية
Authors
رامز كروم( مشرف مساعد )
Created by
Shamra Editor
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يهدف هذا البحث إلى ايجاد الشروط اللازمة لوجود حل ذو موجة منعزلة مظلمة لمعادلة فاخنينكو- باركس مع لا خطية قانون الطاقة ذات الأمثال التابعة للزمن باستخدام طريقة فرضية الحل الموجي. تم تحديد قيمة بارامتر لا خطية قانون الطاقة. أظهرت النتائج أن الطريقة المستخدمة فعالة للحصول على هذا النوع من الحلول للمعادلات التفاضلية الجزئية غير الخطية.
This research aims to find the necessary conditions for the existence of the dark soliton solution to the Vakhnenko-Parkes equation with time dependent coefficients and with power law nonlinearity by using the solitary wave ansatz method. The value of the power law nonlinearity parameter is determined. The results show that the used method is efficient to obtain this kind of solutions for the nonlinear partial differential equations.
References used
VAKHNENKO, V. O. and PARKES,E. J. The calculation of multisoliton solutions of the Vakhnenko equation by the inverse scattering method, Chaos, Solitons & Fractals, vol. 13, no. 9,2002,pp. 1819–1826
KOROGLU, C. andOZIS,T. A novel traveling wave solution for Ostrovsky equation using exp-function method,Computers and Mathematics with Applications, vol. 58, no. 11-12, 2009, pp. 2142–2146.
ABAZARI,R. Application of (G'/G)-expansion method to travelling wave solutions of three nonlinear evolution equation,Computers & Fluids. AnInternational Journal, vol. 39, no. 10,2010,pp. 1957–1963.
BASKONUS,H. M.BULUT,H. andEMIR.D. G.Regarding New Complex Analytical Solutions for the Nonlinear PartialVakhnenko-Parkes Differential Equation via Bernoulli Sub-Equation Function Method.Mathematics Letters.Vol. 1, No. 1, 2015, pp. 1-9
MAJID,F.TRIKI,H.HAYAT,T.ALDOSSARY,OM.BISWAS,A.Solitary wave solutions ofthe Vakhnenko-Parkes equation. Nonlinear Anal 17(1), 2012, pp 60–66
BISWAS A. 1-Soliton solution of the K(m,n) equation with generalized evolution,Phys Lett A (2008);372:4601–2
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