Results 81 to 90 of about 6,339 (163)

Dynamics and stability of solitons in the higher-order dispersive cubic-quintic nonlinear schrödinger equation: conservation laws and applications

Discover Applied Sciences
This study investigates the construction of multi-peak solitons and various other wave solutions of a higher-order nonlinear Schrödinger equation incorporating cubic-quintic dispersion, using the modified exponential rational function method.
Muhammad Arshad, Yue Li, Faisal Yasin, Kashifa Basheer, Mohamed Sesay   +4 more
doaj   +1 more source

Construction of (n+1) $(n+1)$-dimensional dual-mode nonlinear equations: multiple shock wave solutions for (3+1) $(3+1)$-dimensional dual-mode Gardner-type and KdV-type

Advances in Difference Equations, 2019
The goal of this study is to offer an exclusive functional conversion to produce (n+1) $(n+1)$-dimensional dual-mode nonlinear equations. This transformation has been implemented and new (3+1) $(3+1)$-dimensional dual-mode Gradner-type and KdV-type have ...
Ali Jaradat, M. M. M. Jaradat, Mohd Salmi Md Noorani, H. M. Jaradat, Marwan Alquran   +4 more
doaj   +1 more source

On simulations of 3D fractional WBBM model through mathematical and graphical analysis with the assists of fractionality and unrestricted parameters

Scientific Reports
This study retrieves some novel exact solutions to the family of 3D space–time fractional Wazwaz–Benjamin–Bona–Mahony (WBBM) equations in the context of diverse nonlinear physical phenomena resulting from water wave mechanics.
Nur Hasan Mahmud Shahen, Foyjonnesa, Md. Al Amin, M. M. Rahman   +3 more
doaj   +1 more source

Extraction of optical wave structures to the coupled fractional system in magneto-optic waveguides

Arab Journal of Basic and Applied Sciences
In this article, truncated M-fractional coupled nonlinear Schrodinger equation (NLSE) with quadratic–cubic nonlinearity is under observation. The studied model is composed of chromatic dispersion, magneto-optic parameter and inter-modal dispersion.
Jan Muhammad, Muhammad Bilal Riaz, Usman Younas, Naila Nasreen, Adil Jhangeer, Dianchen Lu   +5 more
doaj   +1 more source

Exploring chaos and sensitivity in the Ivancevic option pricing model through perturbation analysis.

PLoS ONE
This study explores the Ivancevic Option Pricing Model, a nonlinear wave-based alternative to the Black-Scholes model, using adaptive nonlinear Schrödingerr equations to describe the option-pricing wave function influenced by stock price and time.
Adil Jhangeer, Ali R Ansari, Ariana Abdul Rahimzai, Beenish, Abdul Qadeer Khan   +4 more
doaj   +1 more source

Alice-Bob systems, $P_s$-$T_d$-$C$ principles and multi-soliton solutions

, 2016
To describe two-place physical problems, many possible models named Alice-Bob (AB) systems are proposed. To find and to solve these systems, the Parity (P), time reversal (T), charge conjugation (C), shifted-parity ($P_s$, parity with a shift), delayed ...
Lou, S. Y.
core  

Analysis of Kudryashov’s equation with conformable derivative via the modified Sardar sub-equation algorithm

Results in Physics
In the present work, we utilize a new Sardar sub-equation approach, leading to the successful derivation of several exact solutions for the time-fractional Kudryashov’s equation, which describes the propagation pulses in optical fibers.
Muhammad Amin S. Murad, Waqas Ali Faridi, Mujahid Iqbal, Ahmed H. Arnous, Nehad Ali Shah, Jae Dong Chung   +5 more
doaj   +1 more source

Exploring dynamical features like bifurcation assessment, sensitivity visualization, and solitary wave solutions of the integrable Akbota equation

Nonlinear Engineering
The Akbota equation (AE), as a Heisenberg ferromagnetic-type equation, can be extremely valuable in the study of curve and surface geometry. In this study, we employ the well-known two analytical techniques, the modified Khater method and the new sub ...
Chou Dean, Sagher Azad Ali, Asjad Muhammad Imran, Hamed Yasser Salah   +3 more
doaj   +1 more source

Probing nonlinear wave dynamics: Insights from the (2+1)-dimensional Konopelchenko-Dubrovsky System

Results in Physics
The (2 + 1)-dimensional Konopelchenko-Dubrovsky system contributes to the field of atmospheric science by investigating the behaviour of nonlinear waves, revealing subtle scattering effects and extended-range interactions within the tropical and mid ...
Asfand Fahad, Salah Mahmoud Boulaaras, Hamood Ur Rehman, Ifrah Iqbal, Dean Chou   +4 more
doaj   +1 more source

Investigation of new solitary stochastic structures to the Heisenberg ferromagnetic spin chain model via a Stratonovich sense

Partial Differential Equations in Applied Mathematics
This study examines how Stratonovich integrals (SIs) affect the solutions of the Heisenberg ferromagnetic spin chain (HFSC) equation using the modified (G'/G)-expansion (MG'/GE) scheme.
Md. Nur Alam
doaj   +1 more source