New exact solutions of Bratu Gelfand model in two dimensions using Lie symmetry analysis |
| |
| Institution: | 1. Department of Mathematics, Benha Faculty of Engineering, Benha University, Benha, Egypt;2. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, China;3. Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;4. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA;5. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, Shandong, China;6. Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng Campus, Mmabatho 2735, South Africa;1. Department of Mathematics, Namal Institute, Talagang Road, Mianwali 42250, Pakistan;2. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan;3. Faculty of Information Technology, University of Central Punjab, Lahore, Pakistan |
| |
| Abstract: | We explore new analytical solutions for the two-dimensional nonlinear elliptic Bratu equation. Through the point transformation, the integrable form of Bratu equation was investigated then we obtain the Lie infinitesimals for the new equation. These vectors reduce the integrable equation to solvable ODEs then we use the boundary conditions (BCs) to spin two new exact solutions for Bratu equation in a unit square domain. A three-dimensional plot illustrates some resulting solutions. Comparison with other work has been presented. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
