In the present paper, authors are interested in studying a famous nonlinear PDE referred to as $(2+1)$-dimensional chiral Schrödinger (2D-CS) equation with applications mathematical physics. this respect, real and imaginary portions of 2D-CS firstly derived through traveling wave transformation. Different structures equation, classified bright dark solitons, then retrieved using modified Kudrya...

Abstract The Burgers-type equations are noticed in plasma astrophysics, ocean dynamics, atmospheric science, computational fluid mechanics, cosmology, condensed matter physics, statistical nonlinear acoustics, vehicular traffic, electronic transport, etc. This prompts us to examine an extended (2 + 1)-dimensional coupled Burgers system mechanics. We determine novel exact solutions by the Lie sy...

In this work, we aim to determine the possible soliton solutions and examine behaviors of (1+1)-dimensional non-linear Telegraph equation (NTE) which is used model signal processing for propagation transmission electric impulses also wave theory process by using extended Kudryashov method. We started finding ordinary differential form (1+1)-NTE with aid a suitable transformation. Then, method a...

In this study, soliton solutions of the (2+1)-dimensional reaction-diffusion equation are investigated by extended Kudryashov method based on Riccati-Bernoulli approach. Firstly, we obtained non-linear ordinary differential form implementing wave transformation. Then, has been presented and applied to form. By applying polynomial gained, solution sets have formed taking appropriate sets. Finall...

In this study, the generalized (3+1)-dimensional Shallow Water-Like (SWL) equation, which is one of evolution equations, taken into consideration. With help equation discussed, modified Kudryashov method, traveling wave solutions are successfully obtained. these solutions, graphs solitary waves to be obtained by giving special values arbitrary parameters presented. At same time, effect change v...

This paper studies the propagation of short pulse optics model governed by higher-order nonlinear Schrödinger equation (NLSE) with non-Kerr nonlinearity. Exact one-soliton solutions are derived for a generalized case NLSE aid software symbolic computations. The modified Kudryashov simple method (MSEM) is employed this purpose under some parametric constraints. computational work shows differenc...

Solitons and Other Solutions to Perturbed Rosenau KdV RLW Equation with Power Law Nonlinearity P. Sanchez, G. Ebadi, A. Mojaver, M. Mirzazadeh, M. Eslami and A. Biswas Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA Department of Mathematical Sciences, University of Tabriz, Tabriz, 51666-14766, Iran Department of Engineering Sciences, Faculty of Technol...

The three dimensional conformable time fractional KadomtsevPetviashvili and the conformable time fractional modified Kawahara equations are solved by implementing the Kudryashov’s procedure. The corresponding wave transformation reduces both equations to some ODEs. Balancing the nonlinear and the highest order derivative terms gives the structure of the solutions in the finite series form. The ...