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Register a new userFinding Exact Solutions for Generalized Fitzhug- Nagumo Equation with Constant Coefficients
إيجاد حلول تامة لمعادلة Fitzhug-Nagumo المعممة ذات الأمثال الثابتة
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Tishreen University ورقة بحثية
Publication date
2014
fields
Mathematics
and research's language is
العربية
Created by
Shamra Editor
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لقد أوجدنا في هذه البحث مجموعة من الحلول التامة لمعادلة Fitzhugh-Nagumo المعمّمة ذات الأمثال الثابتة، باستخدام طريقة التكامل الأول، ووجدنا من خلال عملية إيجاد هذه الحلول أنّ هذه الطريقة فعّالة مع هذا النوع من المعادلات التفاضلية غير الخطية.
In this work, we have been obtained exact solutions for generalized Fitzhug-Nagumo equation with constant coefficients, by using the first integral method, and we have shown that this method is an efficient method to obtain exact solutions to this kind of nonlinear partial differential equations.
References used
R. FITZHUGH, Impulse and physiological states in models of nerve membrane, Biophys. J. 1 (1961) 445–466
J.S. NAGUMO, S. ARIMOTO, S. YOSHIZAWA, An active pulse transmission line simulating nerve axon, Proc. IRE 50 (1962) 2061–2071
S. ABBASBANDY, Soliton solutions for the Fitzhugh–Nagumo equation with the homotopy analysis method, Appl. Math. Model. 32 (2008) 2706–2714
H.A. ABDUSALAM, Analytic and approximate solutions for Nagumo telegraph reaction diffusion equation, Appl. Math. Comput. 157 (2004) 515–522
D.G. ARONSON, H.F. WEINBERGER, Multidimensional nonlinear diffusion arising in population genetics, Adv. Math. 30 (1978) 33–76
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