Results 51 to 60 of about 1,351 (136)

Exploring the Chavy–Waddy–Kolokolnikov Model: Analytical Study via Recently Developed Techniques

Journal of Mathematics
This work explores the analytical soliton solutions to the Chavy–Waddy–Kolokolnikov equation (CWKE), which is a well-known equation in biology that shows how light-attracted bacteria move together.
Jan Muhammad, David Yaro, Usman Younas
doaj   +1 more source

New probabilistic solutions of the generalized shallow water wave equation with dual random dispersion coefficients

Cogent Engineering
In this paper, some exact solutions of the stochastic generalized nonlinear shallow water wave equation are investigated. This equation is important in fluid mechanics’ fields since it can model the propagation of disturbances in water and other ...
A. Hussein
doaj   +1 more source

Bifurcations, chaotic behaviour, sensitivity analysis, and diverse soliton structures for fractional nonlinear Kraenkel-Manna-Merle system adopting two techniques

Mathematical and Computer Modelling of Dynamical Systems
The generalized Riccati equation mapping method and the modified extended tanh-function are the two analytical techniques that are used to solve the nonlinear fractional-order differential equations.
Xiaoming Wang, Maham Nageen, Muhammad Abbas, Muhammad Zain Yousaf, M. R. Alharthi, Essam R. El-Zahar   +5 more
doaj   +1 more source

Influence of Truncated M-Fractional Derivative on Soliton Dynamics and Stability Analysis of Fifth-Order KdV Equation Using Improved Modified Extended Tanh Function Method

Fractal and Fractional
In this study, we explore the soliton solutions of the truncated M-fractional fifth-order Korteweg–de Vries (KdV) equation by applying the improved modified extended tanh function method (IMETM).
Rawan Bossly, Noorah Mshary, Hamdy M. Ahmed   +2 more
doaj   +1 more source

Interactions and Soliton Dynamics for a (2+1)-Dimensional Nonlinear Integrable Model Arising in Shallow Water

Mathematics
In this study, we consider a (2+1)-dimensional integrable Boussinesq equation, where the Hirota method of positive logarithmic transformation is used to convert it into a bilinear form. We proceeded by employing different test functions, through which we
Ali Danladi, Aljethi Reem Abdullah, Ejaz Hussain, Zhao Li   +3 more
doaj   +1 more source

Dynamics and Stability of Soliton Structures for the Generalized Nonlinear Fractional (3 + 1)-Dimensional Wave Model in Computational Physics

Fractal and Fractional
This study employs the modified extended direct algebraic method (MEDAM) to investigate the generalized nonlinear fractional (3+1)-dimensional wave equation with gas bubbles.
Abdulaziz Khalid Alsharidi, Maysoon Qousini   +1 more
doaj   +1 more source

The Solitary Travelling Wave Solutions of Some Nonlinear Partial Differential Equations Using the Modified Extended Tanh Function Method with Riccati Equation

Asian Research Journal of Mathematics, 2018
M El-Horbaty, F Ahmed
openaire   +1 more source

On certain novel numerical and analytical solutions for the pure-cubic Schrödinger equation in optical fibers with Kerr nonlinearity. [PDF]

Sci Rep
Tariq KU, Khan R, Alsharidi AK, Almusallam N.   +3 more
europepmc   +1 more source

Soliton structures and dynamical characteristics of fractional nonlinear waves in the classical Boussinesq framework. [PDF]

Sci Rep
Rimu NN, Islam MA, Dey P.
europepmc   +1 more source

Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]

Sci Rep
Almetwally EM, Zayed MA, Abo-Hashem SI, Sadat R, Mabrouk SM, Rashed AS.   +5 more
europepmc   +1 more source