[HTML][HTML] New soliton solutions of the mZK equation and the Gerdjikov-Ivanov equation by employing the double G′/G, 1/G-expansion method

MA Iqbal, D Baleanu, MM Miah, HMS Ali, HM Alshehri… - Results in Physics, 2023 - Elsevier
In the electrical transmission lines, the processing of cable signals distribution, computer
networks, high-speed computer databases and discrete networks can be investigated by the …

Abundant different types of exact soliton solution to the (4+ 1)-dimensional Fokas and (2+ 1)-dimensional breaking soliton equations

S Kumar, M Niwas, MS Osman… - … in Theoretical Physics, 2021 - iopscience.iop.org
The prime objective of this paper is to explore the new exact soliton solutions to the higher-
dimensional nonlinear Fokas equation and (2+ 1)-dimensional breaking soliton equations …

On some new soliton solutions of (3+ 1)-dimensional Boiti–Leon–Manna–Pempinelli equation using two different methods

KK Ali, MS Mehanna - Arab Journal of Basic and Applied Sciences, 2021 - Taylor & Francis
In this article, a new solution for the (3+ 1) dimensions Boiti–Leon–Manna–Pempinelli
(BLMP) equation using the sine Gordon expansion method and the extended tanh function …

Harmonizing wave solutions to the Fokas-Lenells model through the generalized Kudryashov method

HK Barman, R Roy, F Mahmud, MA Akbar, MS Osman - Optik, 2021 - Elsevier
In this article, the closed form general and standard solutions accessible in the literature of
nonlinear evolution equation (NLEE), namely, the Fokas-Lenells (FL) equation is …

New plenteous soliton solutions and other form solutions for a generalized dispersive long-wave system employing two methodological approaches

M Niwas, S Kumar - Optical and Quantum Electronics, 2023 - Springer
In this research, we concentrated on the dispersive long wave system in two horizontal
directions for dispersive nonlinear waves on the shallow water of an open sea or a wide …

Bifurcation theory, lie group-invariant solutions of subalgebras and conservation laws of a generalized (2+ 1)-dimensional BK equation type II in plasma physics and …

OD Adeyemo, L Zhang, CM Khalique - Mathematics, 2022 - mdpi.com
The nonlinear phenomena in numbers are modelled in a wide range of fields such as
chemical physics, ocean physics, optical fibres, plasma physics, fluid dynamics, solid-state …

Stable soliton solutions to the shallow water waves and ion-acoustic waves in a plasma

M Abdul Kayum, M Ali Akbar… - Waves in Random and …, 2022 - Taylor & Francis
The Kawahara equation (KE) and the modified Kawahara equation (MKE) are important
modeling equations to interpret shallow water waves with surface tension, magneto-acoustic …

[HTML][HTML] Multi-soliton solutions of the Sawada-Kotera equation using the Hirota direct method: Novel insights into nonlinear evolution equations

AKMKS Hossain, MA Akbar - Partial Differential Equations in Applied …, 2023 - Elsevier
Recently, mathematicians, engineers, and scientists have explored the unique
characteristics and potential applications of multi-solitons, which is an expanding domain of …

Dynamical soliton wave structures of one-dimensional Lie subalgebras via group-invariant solutions of a higher-dimensional soliton equation with various applications …

OD Adeyemo, CM Khalique - Communications on Applied Mathematics …, 2022 - Springer
Having realized various significant roles that higher-dimensional nonlinear partial
differential equations (NLPDEs) play in engineering, we analytically investigate in this …

[HTML][HTML] Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics

S Kumar, M Niwas, SK Dhiman - Journal of Ocean Engineering and …, 2022 - Elsevier
The generalized exponential rational function (GERF) method is used in this work to obtain
analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation. The KS equation …