[HTML][HTML] Analytical study of nonlinear models using a modified Schrödinger's equation and logarithmic transformation
Optical solitons are special waves that maintain their shape while traveling. Hence, solitary
optical waves have great significance when it comes to representing pulse propagation …
optical waves have great significance when it comes to representing pulse propagation …
A novel integration approach to study the perturbed Biswas-Milovic equation with Kudryashov's law of refractive index
Modelling the movement of waves and the propagation of waves is extremely important in
the field of fluid dynamics. All types of waves phenomena are very important in real-life …
the field of fluid dynamics. All types of waves phenomena are very important in real-life …
[HTML][HTML] Soliton solutions and fractional effects to the time-fractional modified equal width equation
The one-dimensional long water wave propagation in a nonlinear medium, including the
dispersion process, is well simulated by the fractional-order modified equal-width (MEW) …
dispersion process, is well simulated by the fractional-order modified equal-width (MEW) …
[HTML][HTML] Optical soliton solutions, bifurcation, and stability analysis of the Chen-Lee-Liu model
Abstract The Chen-Lee-Liu model has many applications in assorted fields, particularly in
the study of nonlinear dynamics, chaos theory, circuit design, signal processing, secure …
the study of nonlinear dynamics, chaos theory, circuit design, signal processing, secure …
[HTML][HTML] On traveling wave solutions with bifurcation analysis for the nonlinear potential Kadomtsev-Petviashvili and Calogero–Degasperis equations
In this study, we delve into the exploration of the (2+ 1)-dimensional potential Kadomtsev-
Petviashvili (pKP) and Calogero–Degasperis equation (CDE) models, which hold significant …
Petviashvili (pKP) and Calogero–Degasperis equation (CDE) models, which hold significant …
Unveiling optical soliton solutions and bifurcation analysis in the space–time fractional Fokas–Lenells equation via SSE approach
A Refaie Ali, MN Alam, MW Parven - Scientific Reports, 2024 - nature.com
The space–time fractional Fokas–Lenells (STFFL) equation serves as a fundamental
mathematical model employed in telecommunications and transmission technology …
mathematical model employed in telecommunications and transmission technology …
[HTML][HTML] Abundant closed-form wave solutions to the simplified modified Camassa-Holm equation
SMR Islam, SMY Arafat, H Wang - Journal of Ocean Engineering and …, 2023 - Elsevier
Abstract The simplified modified Camassa-Holm (SMCH) equation is an important nonlinear
model equation for identifying various wave phenomena in ocean engineering and science …
model equation for identifying various wave phenomena in ocean engineering and science …
[HTML][HTML] Wave solutions of the couple Drinfel'd–Sokolov–Wilson equation: New wave solutions and free parameters effect
This manuscript employs an exact and explicit soliton solution of the Drinfel'd–Sokolov–
Wilson (DSW) equation. The wave phenomena of the obtained solutions are applied to …
Wilson (DSW) equation. The wave phenomena of the obtained solutions are applied to …
[HTML][HTML] An innovative approach for developing the precise traveling wave solutions to a family of 3D fractional WBBM equations
SN Ananna, PP Gharami, T An, W Liu… - … Differential Equations in …, 2023 - Elsevier
Abstract The Wazwaz–Benjamin–Bona–Mahony (WBBM) equations are solved in this paper
using an explicit and precise soliton method. In water wave mechanics, fluid dynamics …
using an explicit and precise soliton method. In water wave mechanics, fluid dynamics …
[HTML][HTML] Diverse analytical wave solutions of plasma physics and water wave equations
In plasma physics and water waves, the Gilson-Pickering equation is an important
unidirectional wave propagation model. A large number of analytic wave solutions have …
unidirectional wave propagation model. A large number of analytic wave solutions have …