Analytical mathematical approaches for the double-chain model of DNA by a novel computational technique

AR Seadawy, M Bilal, M Younis, STR Rizvi… - Chaos, Solitons & …, 2021 - Elsevier
In this research, we study analytically the double-chain model for deoxyribonucleic acid
(DNA). The Φ 6-model expansion method is used to extract the traveling wave solutions to …

Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation

S Kumar, D Kumar, A Kumar - Chaos, Solitons & Fractals, 2021 - Elsevier
In this article, the Lie group of transformation method via one-dimensional optimal system is
proposed to obtain some more exact solutions of the (4+ 1)-dimensional Fokas equation. Lie …

A variety of structures of optical solitons for the nonlinear Schrödinger equation with generalized anti-cubic nonlinearity

S Arshed, G Akram, M Sadaf, I Latif… - Optical and Quantum …, 2023 - Springer
Nonlinear Schrödinger equation plays a significant role in the description of propagation of
light in nonlinear optical fibers. In this manuscript, the nonlinear Schrödinger equation is …

Further advanced investigation of the complex Hirota-dynamical model to extract soliton solutions

MM Rasid, MM Miah, AH Ganie, HM Alshehri… - … Physics Letters B, 2024 - World Scientific
The complex Hirota-dynamical model (CHDM) has applications in the study of plasma
physics, the investigation of fusion energy, astrophysical research, and space studies. The …

A highly effective analytical approach to innovate the novel closed form soliton solutions of the Kadomtsev–Petviashivili equations with applications

JRM Borhan, AH Ganie, MM Miah, MA Iqbal… - Optical and Quantum …, 2024 - Springer
Nonlinear partial integro-differential equations (PIDEs) are applied to present the various
practical phenomena in a multitude of sectors of modern science and engineering …

A study on stochastic longitudinal wave equation in a magneto-electro-elastic annular bar to find the analytical solutions

MM Miah, MA Iqbal, MS Osman - Communications in Theoretical …, 2023 - iopscience.iop.org
A study on stochastic longitudinal wave equation in a magneto-electro-elastic annular bar to find
the analytical solutions - IOPscience Skip to content IOP Science home Accessibility Help …

[HTML][HTML] Diverse variety of exact solutions for nonlinear Gilson–Pickering equation

SA Allahyani, HU Rehman, AU Awan, ESM Tag-ElDin… - Symmetry, 2022 - mdpi.com
The purpose of this article is to achieve new soliton solutions of the Gilson–Pickering
equation (GPE) with the assistance of Sardar's subequation method (SSM) and Jacobi …

A new generalized θ-conformable calculus and its applications in mathematical physics

AA Hyder, AH Soliman - Physica Scripta, 2020 - iopscience.iop.org
In this work, a new generalized concept of conformable derivative is given and named
generalized θ–conformable derivative (GTCD). Several properties are studied such as the …