Lump solutions of Biharmonic equation

محورهای موضوعی : Mathematical Engineering

Azadeh Badiepour ¹ , Zainab Ayati ² , Hamideh Ebrahimi ³

1 - Department of Mathematics, Guilan Science and Research Branch, Islamic Azad University, Rasht, Iran
2 - Department of Engineering Sciences, Faculty of Technology and Engineering, University of Guilan, East of Guilan, Rudsar, Iran
3 - Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

تاریخ دریافت : 1399/10/21 تاریخ پذیرش : 1400/04/02 تاریخ انتشار : 1399/09/11

کلید واژه: maple, Lump solution, Biharmonic equation, rational solutions,

چکیده مقاله :

In this article, through symbolic computation With Maple, we get the solution of the (1 + 1)-dimensional Biharmonic-equation. These solutions, which we call lump solution, obtained using square functions, are rationally localized in all directions in the space. It should be noted that not all nonlinear partial differential equations have a lump solution. Finally, by selecting the appropriate parameter, the lump solutions are shown in the figures.