Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model
In this work, we introduce a numerical and analytical study of the Peyrard-Bishop DNA
dynamic model equation. This model is studied analytically by hyperbolic and exponential …
dynamic model equation. This model is studied analytically by hyperbolic and exponential …
Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg–de Vries equations
This paper aims to investigate the class of fifth-order Korteweg–de Vries equations by
devising suitable novel hyperbolic and exponential ansatze. The class under consideration …
devising suitable novel hyperbolic and exponential ansatze. The class under consideration …
[HTML][HTML] Novel resonant multi-soliton solutions of time fractional coupled nonlinear Schrödinger equation in optical fiber via an analytical method
The aim of this article is to investigate the time fractional coupled nonlinear Schrödinger
equation (TFCNLSE) which can be used to describe the interaction among the modes in …
equation (TFCNLSE) which can be used to describe the interaction among the modes in …
Analytical and numerical study of the HIV‐1 infection of CD4+ T‐cells conformable fractional mathematical model that causes acquired immunodeficiency syndrome …
In this paper, we introduce a numerical and analytical study of the HIV‐1 infection of CD4+ T‐
cells conformable fractional mathematical model. This model is studied analytically by …
cells conformable fractional mathematical model. This model is studied analytically by …
Soliton solutions to the DNA Peyrard–Bishop equation with beta-derivative via three distinctive approaches
In this paper, we explore the DNA dynamic equation arising in the oscillator-chain named as
Peyrard–Bishop model for abundant solitary wave solutions. The aforesaid model is studied …
Peyrard–Bishop model for abundant solitary wave solutions. The aforesaid model is studied …
Analytical solutions for the nonlinear partial differential equations using the conformable triple Laplace transform decomposition method
SA Bhanotar, MKA Kaabar - International Journal of Differential …, 2021 - Wiley Online Library
In this paper, a novel analytical method for solving nonlinear partial differential equations is
studied. This method is known as triple Laplace transform decomposition method. This …
studied. This method is known as triple Laplace transform decomposition method. This …
Analytical optical pulses and bifurcation analysis for the traveling optical pulses of the hyperbolic nonlinear Schrödinger equation
Analytical forms of optical pulses for the hyperbolic nonlinear Schrödinger equation are
studied by the extended tanh expansion method and another new method successfully …
studied by the extended tanh expansion method and another new method successfully …
[HTML][HTML] A variety of soliton solutions for the fractional Wazwaz-Benjamin-Bona-Mahony equations
In the present paper, the new three-dimensional modified Benjamin-Bona-Mahony
equations recently introduced are analyzed with the introduction of the spatial and temporal …
equations recently introduced are analyzed with the introduction of the spatial and temporal …
[PDF][PDF] Construct extended cubic B-splines in n-dimensional for solving n-dimensional partial differential equations
In this work, we present a solution to a major problem that most researchers meet, which is
the solution of differential equations of different dimensional by presenting a new structure to …
the solution of differential equations of different dimensional by presenting a new structure to …
Additional solitonic and other analytical solutions for the higher-order Boussinesq-Burgers equation
Due to the lack of abundant literature with regard to the exact analytical solutions for the new
higher-order Boussinesq-Burgers equations (HOBBE); of course, with the exception of a few …
higher-order Boussinesq-Burgers equations (HOBBE); of course, with the exception of a few …