Propagation of diverse solitary wave structures to the dynamical soliton model in mathematical physics
The extended sinh-Gordon equation expansion, the extended rational sine–cosine/sinh–
cosh, and modified direct algebraic methods are employed to investigate the different …
cosh, and modified direct algebraic methods are employed to investigate the different …
Taming hyperchaos with ESDDFD discretization of a conformable fractional derivative financial system with market confidence and ethics risk
G Gibson, D Clemence-Mkhope - 2021 - preprints.org
Four discrete models using the exact spectral derivative discretization finite difference
(ESDDFD) method are proposed for a chaotic five-dimensional, conformable fractional …
(ESDDFD) method are proposed for a chaotic five-dimensional, conformable fractional …
Application of the Exp− φ ξ-Expansion Method to Find the Soliton Solutions in Biomembranes and Nerves
Heimburg and Jackson devised a mathematical model known as the Heimburg model to
describe the transmission of electromechanical pulses in nerves, which is a significant step …
describe the transmission of electromechanical pulses in nerves, which is a significant step …
Advantages of the Differential Equations for Solving Problems in Mathematical Physics with Symbolic Computation.
In this paper, we have introduced the analytical solutions of the Benjamin-Bona-Mahony
equation and the (2+ 1) dimensional breaking soliton equations with the help of a new …
equation and the (2+ 1) dimensional breaking soliton equations with the help of a new …
On the complex solutions to the (3+1)-dimensional conformable fractional modified KdV–Zakharov–Kuznetsov equation
This paper presents some exponential function solutions of the (3+ 1)-dimensional space-
time fractional modified KdV–Zakharov–Kuznetsov (mKdV–ZK). The improved Bernoulli sub …
time fractional modified KdV–Zakharov–Kuznetsov (mKdV–ZK). The improved Bernoulli sub …
Note on the generalized conformable derivative
A Fleitas, JE Nápoles, JM Rodríguez… - Revista de la Unión …, 2021 - ojs.uns.edu.ar
We introduce a definition of a generalized conformable derivative of order $\alpha\gt
0$(where this parameter does not need to be integer), with which we overcome some …
0$(where this parameter does not need to be integer), with which we overcome some …
Applying the new extended direct algebraic method to solve the equation of obliquely interacting waves in shallow waters
In this study, the potential Kadomtsev-Petviashvili (pKP) equation, which describes the
oblique interaction of surface waves in shallow waters, is solved by the new extended direct …
oblique interaction of surface waves in shallow waters, is solved by the new extended direct …
Traveling wave solutions of conformable time-fractional Zakharov–Kuznetsov and Zoomeron equations
M Odabasi - Chinese Journal of Physics, 2020 - Elsevier
To model physical phenomena more accurately, fractional order differential equations have
been widely used. Investigating exact solutions of the fractional differential equations have …
been widely used. Investigating exact solutions of the fractional differential equations have …
Wave effects of the fractional shallow water equation and the fractional optical fiber equation
S Phoosree, W Thadee - Frontiers in Applied Mathematics and …, 2022 - frontiersin.org
The non-linear space-time fractional Estevez-Mansfield-Clarkson (EMC) equation and the
non-linear space-time fractional Ablowitz-Kaup-Newell-Segur (AKNS) equation showed the …
non-linear space-time fractional Ablowitz-Kaup-Newell-Segur (AKNS) equation showed the …
Qualitative analysis, exact solutions and symmetry reduction for a generalized (2+ 1)-dimensional KP–MEW-Burgers equation
The objective of this manuscript is to examine the non-linear characteristics of the modified
equal width-Burgers equation, known as the generalized Kadomtsive–Petviashvili equation …
equal width-Burgers equation, known as the generalized Kadomtsive–Petviashvili equation …