Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
New solitary wave solutions of generalized fractional Tzitzéica-type evolution equations using Sardar sub-equation Method
View through CrossRef
Abstract
In this study, Sardar sub-equation method (SSM) is employed to obtain the solitary wave solutions for generalized fractional Tzitzéica type equations. By utilizing this method, novel solutions are derived for Tzitzéica, Tzitzéica Dodd-Bullough-Mikhailov (TDBM) and Tzitzéica-Dodd-Bullough (TDB) equations in terms of fractional derivatives. The benefit of SSM is that it offers a wide variety of soliton solutions, consisting of dark, bright, singular, periodic singular as well as combined dark-singular and combined dark-bright solitons. These solutions provide valuable insights into the intricate dynamics of generalized fractional Tzitzéica type evolution equations. Our findings reveal that the proposed method presents a comprehensive and efficient approach to explore exact solitary wave solutions for generalized fractional Tzitzeica type evolution equations.
Title: New solitary wave solutions of generalized fractional Tzitzéica-type evolution equations using Sardar sub-equation Method
Description:
Abstract
In this study, Sardar sub-equation method (SSM) is employed to obtain the solitary wave solutions for generalized fractional Tzitzéica type equations.
By utilizing this method, novel solutions are derived for Tzitzéica, Tzitzéica Dodd-Bullough-Mikhailov (TDBM) and Tzitzéica-Dodd-Bullough (TDB) equations in terms of fractional derivatives.
The benefit of SSM is that it offers a wide variety of soliton solutions, consisting of dark, bright, singular, periodic singular as well as combined dark-singular and combined dark-bright solitons.
These solutions provide valuable insights into the intricate dynamics of generalized fractional Tzitzéica type evolution equations.
Our findings reveal that the proposed method presents a comprehensive and efficient approach to explore exact solitary wave solutions for generalized fractional Tzitzeica type evolution equations.
Related Results
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Background: The dynamics of fractional oscillators are generally described by fractional differential equations, which include the fractional derivative of the Caputo or Riemann-Li...
The waveform comparison of three common-used fractional viscous acoustic wave equations
The waveform comparison of three common-used fractional viscous acoustic wave equations
Abstract
The forward simulation of the viscous acoustic wave equation is an essential part of geophysics and energy resources exploration research. The viscous acoustic sei...
Soham Transform in Fractional Differential Equations
Soham Transform in Fractional Differential Equations
Objectives: Soham transforms is one of the appropriate tools for solving fractional differential equations that are flexible enough to adapt to different purposes. Methods: Integra...
Wave Force Calculations for Stokes and Non-Stokes Waves
Wave Force Calculations for Stokes and Non-Stokes Waves
ABSTRACT
A new wave particle velocity procedure permits calculation of forces from regular wave profiles of more or less arbitrary wave crest to height ratios, as...
Wave-Equation Migration: Two Approaches
Wave-Equation Migration: Two Approaches
ABSTRACT
A conventional stacked seismic section displays data only as a passing wave-field recorded at selected points on the earth's surface. In regions of compl...
Innovative Solutions to the Fractional Diffusion Equation Using the Elzaki Transform
Innovative Solutions to the Fractional Diffusion Equation Using the Elzaki Transform
This study explores the application of advanced mathematical techniques to solve fractional differential equations, focusing particularly on the fractional diffusion equation. The ...
Hurricane Eloise Directional Wave Energy Spectra
Hurricane Eloise Directional Wave Energy Spectra
ABSTRACT
Directiona1 wave energy spectra, calculated from data recorded during Hurricane Eloise (Gulf of Mexico, 1975), are presented. The spectra, based on an en...
On the Solutions of the Fractional-Order Sawada–Kotera–Ito Equation and Modeling Nonlinear Structures in Fluid Mediums
On the Solutions of the Fractional-Order Sawada–Kotera–Ito Equation and Modeling Nonlinear Structures in Fluid Mediums
This study investigates the wave solutions of the time-fractional Sawada–Kotera–Ito equation (SKIE) that arise in shallow water and many other fluid mediums by utilizing some of th...