An Analytic Solution of Benjamin-Ono Equation by Functional Variable Method (FVM): Graphical Approaches on Wave Speed

Abstract

In mathematical physics numerous methods has been applied for finding exact solutions of various nonlinear partial differential equations (NLPDEs). A very powerful solution method is the Functional Variable Method (FVM). In this paper, we discuss the validity & advantages of this method in the Benjamin-Ono equation and achieve graphical representation for different parameters. The Benjamin-Ono equation is the non K-dv type equation and we solve the non K-dv type equation in this paper. By using this useful method, it is shown that the FVM is effective and general than the other method. We presented the graphical representation of the soliton solutions for various wave speed.

Cite as

Md. Monirul Islam, & Md. Robiul Islam. (2020). An Analytic Solution of Benjamin-Ono Equation by Functional Variable Method (FVM): Graphical Approaches on Wave Speed. Journal of Applied Mathematics and Statistical Analysis, 1(3), 1–7. http://doi.org/10.5281/zenodo.4152925