Computational method to solve Davey-Stewartson model and Maccari’s system
1Department of Mathematical Engineering, Yildiz Technical University, İstanbul, 34220, Türkiye
2Department of Software Engineering, İstanbul Gelisim University, İstanbul, 34310, Türkiye
3Department of Mathematical Engineering, Yildiz Technical University, İstanbul, 34220, Türkiye; Department of Computer Engineering, Biruni University, İstanbul, 34010, Türkiye
4Department of Computer Engineering, Biruni University, İstanbul, 34010, Türkiye
2Department of Software Engineering, İstanbul Gelisim University, İstanbul, 34310, Türkiye
3Department of Mathematical Engineering, Yildiz Technical University, İstanbul, 34220, Türkiye; Department of Computer Engineering, Biruni University, İstanbul, 34010, Türkiye
4Department of Computer Engineering, Biruni University, İstanbul, 34010, Türkiye
Sigma J Eng Nat Sci 2024; 42(6): 1847-1855 DOI: 10.14744/sigma.2024.00141
Abstract
In this article, Computer algebra systems and the Riccati-Bernoulli sub-ODE method are ef-ficiently utilized to solve Davey-Stewartson and Maccari’s systems. We successfully obtained the set of new exact solutions for these systems using the computer algebra MAPLE system. For the validity of acquired solutions, the constraint conditions are given. To investigate the behavior of these solutions, graphical representations of the derived solutions are provided under suitable parameter values.
Keywords: Computer Algebra Systems, Davey-Stewartson Equation; Maccari’s System; Riccati-Bernoulli Sub-ODE Method
