Exact solutions of the stochastic new coupled Konno-Oono equation
Wael W. Mohammed, Naveed Iqbal, Akbar Ali, Mahmoud El-Morshedy
Abstract
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′G-expansion 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.
Topics & Concepts
Applied mathematicsHyperbolic functionTrigonometric functionsNoise (video)Multiplicative noiseTrigonometryNonlinear systemMultiplicative functionFunction (biology)MathematicsMATLABComputer scienceMathematical analysisPhysicsDigital signal processingImage (mathematics)Signal transfer functionQuantum mechanicsBiologyGeometryAnalog signalOperating systemArtificial intelligenceComputer hardwareEvolutionary biologyNonlinear Waves and SolitonsFractional Differential Equations SolutionsOptical Network Technologies