Mostafa Eslami
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
[ 1 ] - The B"{a}cklund transformation method of Riccati equation to coupled Higgs field and Hamiltonian amplitude equations
In this paper, we establish new exact solutions for some complex nonlinear wave equations. The B"{a}cklund transformation method of Riccati equation is used to construct exact solutions of the Hamiltonian amplitude equation and the coupled Higgs field equation. This method presents a wide applicability to handling nonlinear wave equations. These equations play a very important role in mathemati...
[ 2 ] - Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation
The homogeneous balance method can be used to construct exact traveling wave solutions of nonlinear partial differential equations. In this paper, this method is used to construct new soliton solutions of the (3+1) Jimbo--Miwa equation.
[ 3 ] - Study on stability analysis of distributed order fractional differential equations with a new approach
The study of the stability of differential equations without its explicit solution is of particular importance. There are different definitions concerning the stability of the differential equations system, here we will use the definition of the concept of Lyapunov. In this paper, first we investigate stability analysis of distributed order fractional differential equations by using the asympto...
[ 4 ] - Multi-step conformable fractional differential transform method for solving and stability of the conformable fractional differential systems
In this article, the multi-step conformable fractional differential transform method (MSCDTM) is applied to give approximate solutions of the conformable fractional-order differential systems. Moreover, we check the stability of conformable fractional-order L"{u} system with the MSCDTM to demonstrate the efficiency and effectiveness of the proposed procedure.
[ 5 ] - کمپلکسیتون Nـ‌گانۀ مثبت معادلۀ (2+1)ـ‌بعدی کادومتسف‌ـ‌پتویاشولی نوع ب
در این مقاله، معادلۀ (2+1)ـ‌بعدی کادومتسف‌ـ‌پتویاشولی نوع ب توصیف‌کنندۀ پایداری سولیتونها در محیط غیرخطی با پراکندگی ضعیف مطالعه میشود. بدین منظور، ابتدا با در نظر گرفتن صورت دوخطی هیروتا و به‌کارگیری روش برهمنهی خطی، جواب ـ‌موجی استخراج و سپس با رهیافت ژو و مانکیور کمپلکسیتون ـ‌گانۀ مثبت معادلۀ (2+1)ـ‌بعدی کادومتسف‌ـ‌پتویاشولی نوع ب حاصل میشود. در نهایت، رفتار دینامیکی و مشخصههای فیزیکی ک...
[ 6 ] - Multi-step conformable fractional differential transform method for solving and stability of the conformable fractional differential systems
In this article, the multi-step conformable fractional differential transform method (MSCDTM) is applied to give approximate solutions of the conformable fractional-order differential systems. Moreover, we check the stability of conformable fractional-order L\"{u} system with the MSCDTM to demonstrate the efficiency and effectiveness of the proposed procedure.
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