(R1992) RBF-PS Method for Eventual Periodicity of Generalized Kawahara Equation

Authors

Hameed Ullah Jan, University of Science and Technology Bannu
Marjan Uddin, University of Engineering and Technology Peshawar
Arif Ullah, University of Science and Technology Bannu
Naseeb Ullah, University of Science and Technology Bannu

Abstract

In engineering and mathematical physics, nonlinear evolutionary equations play an important role. Kawahara equation is one of the famous nonlinear evolution equation appeared in the theories of shallow water waves possessing surface tension, capillary-gravity waves and also magneto-acoustic waves in a plasma. Another specific subjective parts of arrangements for some of evolution equations evidenced by findings link belonging to their long-term actions named as eventual time periodicity discovered over solutions to IBVPs (initial-boundary-value problems). Here we investigate the solution’s eventual periodicity for generalized fifth order Kawahara equation (IBVP) on bounded domain in combination with periodic boundary conditions numerically exploiting mesh-free technique called as Radial basis function pseudo spectral (RBF-PS) method.

Recommended Citation

Jan, Hameed Ullah; Uddin, Marjan; Ullah, Arif; and Ullah, Naseeb (2022). (R1992) RBF-PS Method for Eventual Periodicity of Generalized Kawahara Equation, Applications and Applied Mathematics: An International Journal (AAM), Vol. 18, Iss. 2, Article 8.
Available at: https://digitalcommons.pvamu.edu/aam/vol18/iss2/8