Exact solutions of the stochastic new coupled Konno-Oono equation

In this paper we consider the stochastic Konno-Oono equation, which is forced by multiplicative noise. In order to find exact solutions of stochastic nonlinear Konno-Oono equations, generalized G'/Gexpansion method are implemented. Different forms of traveling wave solutions such as complex hyperbolic function and complex trigonometric function have emerged with various parameters. The results obtained in this paper extend and improve some results that were previously obtained. Moreover, we plot 3D surfaces of analytical solutions obtained in this paper by using Matlab to illustrate the impact of multiplicative noise on the solutions of the Konno-Oono equation.

Automated summary

In this paper, the stochastic Konno-Oono equation forced by multiplicative noise is considered. The generalized G'/G expansion method is implemented to find exact solutions, leading to different forms of traveling wave solutions under various parameters. The results extend and improve previous findings, and 3D surfaces of the analytical solutions are plotted using Matlab to illustrate the impact of multiplicative noise on the solutions.