05 تیر 1403
بهزاد قنبري

بهزاد قنبری

مرتبه علمی: دانشیار
نشانی:
تحصیلات: دکترای تخصصی / ریاضی کاربردی
تلفن:
دانشکده: دانشکده علوم پایه و کاربردی

مشخصات پژوهش

عنوان
Abundant explicit and exact solutions of the Gardner equation by two integration methods
نوع پژوهش مقاله ارائه شده
کلیدواژه‌ها
Exact solutions, Soliton types, Solitary wave solutions, Wave ansatz method, improved tan(φ(ξ))-expansion method
پژوهشگران بهزاد قنبری (نفر اول)

چکیده

Nonlinear partial differential equations (NPDE) is an inevitable mathematical tool tool to explore a large variety of engineering and physical phenomena. Duo to this importance, many mathematical approaches have been established to seek their travelling wave solutions. In this paper, we have examined the Gardner equation via two well-known analytical approached, namely the improved tan(Θ(#))-expansion method and the wave ansatz method. The solutions comprise bright, dark, singular and W-shaped soliton solution. One can see that methods are relatively easy and efficient to use. To better understand the characteristics of the theoretical results several numerical simulations are carried out.