Lump solutions of Biharmonic equation

Subject Areas : 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

Received: 2021-01-10 Accepted : 2021-06-23 Published : 2020-12-01

Keywords: maple, Lump solution, Biharmonic equation, rational solutions,

Abstract :

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.