Konno-Oono Equation Research Articles

Novel archetypes of new coupled Konno–Oono equation by using sine–Gordon expansion method

In this manuscript, we investigate the analytical solutions of the new coupled Konno–Oono equation by using the sine–Gordon expansion method. We successfully obtained some new soliton solutions to this model. We plot the 2D and 3D surfaces of all the found soliton solutions in this study. The Wolfram Mathematica 9 is used in performing all the computations in this study.

Prototype traveling wave solutions of new coupled Konno-Oono equation

In this study, we apply the modified exp (-Ω(ξ))-expansion function method to the new coupled Konno-Oono equation. We obtain some new travelling wave solutions such as complex function, hyperbolic function and rational function solutions. We observe that all travelling wave solutions have been verified the new coupled Konno-Oono equation by using Wolfram Mathematica 9. Then, we plot the two- and three-dimensional surfaces for all travelling wave solutions obtained in this paper by the same computer program.

Traveling wave solutions of new coupled Konno-Oono equation

In this paper, the recently developed tanh-function method and extended tanh-function method are applied to explore the traveling wave solutions of new coupled Konno-Oono equation. We have successfully derived some explicit traveling wave solutions of new coupled Konno-Oono equation.

New Generalized (G'/G)-Expansion Method Applications to Coupled Konno-Oono Equation

The new generalized (G'/G)-expansion method is one of the powerful and competent methods that appear in recent time for establishing exact solutions to nonlinear evolution equations (NLEEs). We apply the new generalized (G'/G)-expansion method to solve exact solutions of the new coupled Konno-Oono equation and construct exact solutions expressed in terms of hyperbolic functions, trigonometric functions, and rational functions with arbitrary parameters. The significance of obtained solutions gives credence to the explanation and understanding of related physical phenomena. As a newly developed mathematical tool, this method efficiency for finding exact solutions has been demonstrated through showing its straightforward nature and establishing its ability to handle nonlinearities prototyped by the NLEEs whether in applied mathematics, physics, or engineering contexts.