Malaysian Journal of Mathematical Sciences, December 2023, Vol. 17, No. 4
On the Optimal System and Series Solutions of Fifth-Order Fujimoto-Watanabe Equations
Gwaxa, B., Jamal, S., and Johnpillai, A. G.
Corresponding Email: sameerah.jamal@wits.ac.za
Received date: 19 June 2023
Accepted date: 9 October 2023
Abstract:
This paper investigates the two fifth-order Fujimoto-Watanabe equations from the perspective of the group theoretic approach. We identify the reduced equations that lead to the solutions of these high order equations. Furthermore, the corresponding solutions are found by power series due to their nonlinear characteristics. As a result, the findings of the study demonstrate the convergence of solutions for such models and identifies the travelling wave solutions.
Keywords: lie symmetries; fifth-order equations; convergence; power series
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