In this article, the generalized Kudryashov method which provides exact solutions is examined. It possible to obtain new of nonlinear differential equations with method. By implementing developed two-dimensional KdV-Burger equation, equation are found. This that not in literature. addition, two and three-dimensional graphics these have been drawn their physical behavior has demonstrated.

Generalized Kudryashov method has been used to private type of nonlinear fractional differential equations. Firstly, we proposed a complex transform convert equations into ordinary Three applications were given demonstrate the effectiveness present technique. As result, abundant types exact analytical solutions are obtained.

This paper studies nonlinear wave propagation in a bubble-liquid mixture based on the third-order Kudryashov–Sinelshchikov (KS) equation. Symmetry is classified and reduced through symmetry group method. Through generalized conditional method, this equation classified, considered are second, third, fourth, fifth-order, respectively. Meanwhile, equations transformed into system of ordinary diffe...

This study includes the examination of optical soliton solutions (2+1)-dimensional Biswas-Milovic equation, which is an important equation modeling behavior in fibers, has been introduced to literature recently. Since investigated and method are recently not much works done, bell shape periodic bright have obtained interpreted by supporting 3D, 2D contour graphics utilizing modified new Kudryas...

In this study, the Kraenkel-Manna-Merle (KMM) system and generalized hyperelastic-rod wave equation have been investigated. For this, Kudryashov method (GKM), which is one of solution methods nonlinear evolution equations (NLEEs), has implemented to KMM equation. Some solutions discussed found visualized using Wolfram Mathematica 12 in two three dimensions.

This article deals with the study of ultrasound propagation, which propagates mechanical vibration molecules or particles a material. It measures speed sound in air. For this reason, third-order non-linear model Westervelt equation was chosen to be studied, as solutions such problems have much importance for physical purposes. In article, we discuss exact solitary wave an acoustic pressure p re...