Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Approximate and Generalized Solutions of Conformable Type Coudrey-Dodd-Gibbon-Sawada-Kotera Equation
View through CrossRef
In this study, we consider conformable type
Coudrey-Dodd-Gibbon-Sawada-Kotera (CDGSK) equation. Three powerful
analytical methods are employed to obtain generalized solutions of the
nonlinear equation of interest. First, the sub-equation method is used
as baseline where generalized closed form solutions are obtained and are
exact for any fractional order alpha. Furthermore, Residual power series
(RPSM) and q-homotopy (q-HAM) analysis techniques are then applied to
obtain approximate solutions. These are possible using some properties
of conformable derivative. These approximate methods are very powerful
and efficient due to the absence of the need for linearization,
discretization and perturbation. Numerical simulations are carried out
showing error values, h-curve for q-HAM and the effects of fractional
order on the solution profiles.
Title: Approximate and Generalized Solutions of Conformable Type Coudrey-Dodd-Gibbon-Sawada-Kotera Equation
Description:
In this study, we consider conformable type
Coudrey-Dodd-Gibbon-Sawada-Kotera (CDGSK) equation.
Three powerful
analytical methods are employed to obtain generalized solutions of the
nonlinear equation of interest.
First, the sub-equation method is used
as baseline where generalized closed form solutions are obtained and are
exact for any fractional order alpha.
Furthermore, Residual power series
(RPSM) and q-homotopy (q-HAM) analysis techniques are then applied to
obtain approximate solutions.
These are possible using some properties
of conformable derivative.
These approximate methods are very powerful
and efficient due to the absence of the need for linearization,
discretization and perturbation.
Numerical simulations are carried out
showing error values, h-curve for q-HAM and the effects of fractional
order on the solution profiles.
Related Results
Applications of the (G′/G2)-Expansion Method for Solving Certain Nonlinear Conformable Evolution Equations
Applications of the (G′/G2)-Expansion Method for Solving Certain Nonlinear Conformable Evolution Equations
The core objective of this article is to generate novel exact traveling wave solutions of two nonlinear conformable evolution equations, namely, the (2+1)-dimensional conformable t...
Non-Local Conformable Differential Inclusions Generated by Semigroups of Linear Bounded Operators or by Sectorial Operators with Impulses in Banach Spaces
Non-Local Conformable Differential Inclusions Generated by Semigroups of Linear Bounded Operators or by Sectorial Operators with Impulses in Banach Spaces
This paper aims to explore the sufficient conditions for assuring that, the set of mild solutions to two types of non-local semilinear fractional differential inclusions involving ...
The High Order Interaction Solutions Comprising Lump Solitons for the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada Equation
The High Order Interaction Solutions Comprising Lump Solitons for the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada Equation
This paper deals with localized waves in the (2+1)-dimensional
Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation in the incompressible
fluid. Based on Hirota’s bilinear method, N-...
Soliton solution of Generalized Zakharov-Kuznetsov and ZakharovKuznetsov-Benjamin-Bona-Mahoney equations with conformable temporal evolution
Soliton solution of Generalized Zakharov-Kuznetsov and ZakharovKuznetsov-Benjamin-Bona-Mahoney equations with conformable temporal evolution
In this paper, we proposethe method of functional variable for finding soliton solutions of two practical problems arising in electronics, namely, the conformable time-conformable ...
Abundant novel solitary wave Solutions of two-mode Sawada-Kotera model and its Applications
Abundant novel solitary wave Solutions of two-mode Sawada-Kotera model and its Applications
The Sawada-Kotera equations illustrating the non-linear wave phenomena
in shallow water, ion-acoustic waves in plasmas, fluid dynamics etc. In
this article, the two-mode Sawada-Kot...
Application of the Exp-Function and Generalized Kudryashov Methods for Obtaining New Exact Solutions of Certain Nonlinear Conformable Time Partial Integro-Differential Equations
Application of the Exp-Function and Generalized Kudryashov Methods for Obtaining New Exact Solutions of Certain Nonlinear Conformable Time Partial Integro-Differential Equations
The key objective of this paper is to construct exact traveling wave solutions of the conformable time second integro-differential Kadomtsev–Petviashvili (KP) hierarchy equation us...
Fractional Derivative Effects on Exploration of Soliton Solutions of (3 + 1)-D Kadomtsev-Petviashvili-Sawada-Kotera-Ramani Model Using Modified Extended Direct Algebraic Approach
Fractional Derivative Effects on Exploration of Soliton Solutions of (3 + 1)-D Kadomtsev-Petviashvili-Sawada-Kotera-Ramani Model Using Modified Extended Direct Algebraic Approach
This investigation studies the newly created (3+1)-D Kadomtsev-Petviashvili-Sawada-Kotera-Ramani equation with the effect of the conformable fractional derivative. The modified ext...
One and two soliton solutions for seventh-order Caudrey-Dodd-Gibbon and Caudrey-Dodd-Gibbon-KP equations
One and two soliton solutions for seventh-order Caudrey-Dodd-Gibbon and Caudrey-Dodd-Gibbon-KP equations
Abstract
In this work, we explore more applications of the simplified form of the bilinear method to the seventhorder Caudrey-Dodd-Gibbon (CDG) and the Caudrey-Dodd-...