M-truncated soliton solutions of the fractional (4+1)-dimensional Fokas equation
نویسندگان
چکیده
This article aims to examine M-truncated soliton solutions of the fractional (4+1)-dimensional Fokas equation (FE), which is a generalization Kadomtsev-Petviashvili (KP) and Davey-Stewartson (DS) equations. The (4+1)$-dimensional with derivatives also studied first time in this study. generalized projective Riccati equations method (GPREM) successfully implemented. In application presented method, suitable wave transformation chosen convert proposed model into nonlinear ordinary differential equation. Then, linear system acquired utilizing GPREM, solved, solution sets are obtained. Dark singular derived. Under selection appropriate values parameters, 2D, 3D, contour plots displayed for some solutions.
منابع مشابه
Two soliton solutions to the three dimensional gravitational Hartree equation
We construct non dispersive two soliton solutions to the three dimensional gravitational Hartree equation whose trajectories asymptotically reproduce the nontrapped dynamics of the gravitational two body problem.
متن کاملAnalytical solutions for the fractional Fisher's equation
In this paper, we consider the inhomogeneous time-fractional nonlinear Fisher equation with three known boundary conditions. We first apply a modified Homotopy perturbation method for translating the proposed problem to a set of linear problems. Then we use the separation variables method to solve obtained problems. In examples, we illustrate that by right choice of source term in the modified...
متن کاملMulti-soliton of the (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff equation and KdV equation
A direct rational exponential scheme is offered to construct exact multi-soliton solutions of nonlinear partial differential equation. We have considered the Calogero–Bogoyavlenskii–Schiff equation and KdV equation as two concrete examples to show efficiency of the method. As a result, one wave, two wave and three wave soliton solutions are obtained. Corresponding potential energy of the solito...
متن کاملAnalytical multi-soliton solutions of a (2+1)-dimensional breaking soliton equation
The analytical solutions for a (2+1)-dimensional breaking solution equation is proposed in this paper by using mapping and projective method darboux transformation, and Some exact propagating solutions are constructed for this Breaking equation, and the M × N multi-soliton could be obtained by using Weierstrassp function and setting the perfect parameters. The potential application of breaking ...
متن کاملNew Periodic and Soliton Solutions of (2 + 1)-Dimensional Soliton Equation
By using the sine-cosine method proposed recently, we give the exact periodic and soliton solutions of the (2 + 1)-dimensional soliton equation in this paper. Many new families of exact traveling wave solutions of the (2 + 1)-dimensional soliton equation are successfully obtained. The computation for the method appears to be easier and faster by general mathematical software.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Optimization and Control : Theories & Applications
سال: 2023
ISSN: ['2146-5703', '2146-0957']
DOI: https://doi.org/10.11121/ijocta.2023.1321