Lump solutions of Biharmonic equation

Iranian Journal of Optimization

دوره 12، شماره 2، اسفند 2020، صفحه 269-273   

نوع مقاله: Research Paper

نویسندگان

Azadeh Badiepour¹؛ Zainab Ayati^{* 2}؛ Hamideh Ebrahimi³

¹Department of Mathematics, Guilan Science and Research Branch, Islamic Azad University, Rasht, Iran

²Department of Engineering Sciences, Faculty of Technology and Engineering, University of Guilan, East of Guilan, Rudsar, Iran

³Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

چکیده

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.

کلیدواژه‌ها

Lump solution؛ Biharmonic equation؛ rational solutions؛ Maple