Results 1 to 10 of about 292 (78)

Effects of Brownian noise strength on new chiral solitary structures

open access: yesJournal of Low Frequency Noise, Vibration and Active Control, 2023
In this paper, we investigate the nonlinear Chiral Schrödinger equation (CNLSE) in two dimensions where noise term affected randomly with time. This equation characterized some edges states of fractional-Hall Effect features in quantum.
Yousef F Alharbi   +2 more
doaj   +2 more sources

Solitary wave solutions of the fourth order Boussinesq equation through the exp(-Ф(η))-expansion method. [PDF]

open access: yesSpringerplus, 2014
The exp(–Ф(η))-expansion method is an ascending method for obtaining exact and solitary wave solutions for nonlinear evolution equations. In this article, we implement the exp(–Ф(η))-expansion method to build solitary wave solutions to the fourth order ...
Akbar MA, Hj Mohd Ali N.
europepmc   +2 more sources

Exact traveling wave solutions of modified KdV-Zakharov-Kuznetsov equation and viscous Burgers equation. [PDF]

open access: yesSpringerplus, 2014
Mathematical modeling of many physical systems leads to nonlinear evolution equations because most physical systems are inherently nonlinear in nature.
Islam MH, Khan K, Akbar MA, Salam MA.
europepmc   +2 more sources

Solitary Wave Solutions for a Generalized KdV Equation with High Power Nonlinearities

open access: yesJournal of Physics: Conference Series, 2022
In current paper, a generalized KdV equation with high order nonlinearities has been investigated by the expansion and the ansatz method. The obtained solutions can be classified as periodic soliton solution, kink solution, triangular soliton solution ...
Rui Wu   +7 more
semanticscholar   +1 more source

Novel soliton solutions for the fractional three-wave resonant interaction equations

open access: yesDemonstratio Mathematica, 2022
In this article, we obtained new infinite sets of exact soliton solutions for the nonlinear evolution system of three-wave resonant interaction equations.
Alqaraleh Sahar M., Talafha Adeeb G.
doaj   +1 more source

New Soliton Solutions for the Higher-Dimensional Non-Local Ito Equation

open access: yesNonlinear Engineering, 2021
In this article, (2+1)-dimensional Ito equation that models waves motion on shallow water surfaces is analyzed for exact analytic solutions. Two reliable techniques involving the simplest equation and modified simplest equation algorithms are utilized to
Inc Mustafa   +5 more
doaj   +1 more source

Solitons for the coupled matrix nonlinear Schrödinger-type equations and the related Schrödinger flow

open access: yesOpen Mathematics, 2023
In this article, the coupled matrix nonlinear Schrödinger (NLS) type equations are gauge equivalent to the equation of Schrödinger flow from R1{{\mathbb{R}}}^{1} to complex Grassmannian manifold G˜n,k=GL(n,C)∕GL(k,C)×GL(n−k,C),{\widetilde{G}}_{n,k}={\rm ...
Zhong Shiping, Zhao Zehui, Wan Xinjie
doaj   +1 more source

A numerical Haar wavelet-finite difference hybrid method and its convergence for nonlinear hyperbolic partial differential equation

open access: yesDemonstratio Mathematica, 2023
In this research work, we proposed a Haar wavelet collocation method (HWCM) for the numerical solution of first- and second-order nonlinear hyperbolic equations. The time derivative in the governing equations is approximated by a finite difference.
Lei Weidong   +4 more
doaj   +1 more source

Wave Structures for Nonlinear Schrodinger Types Fractional Partial Differential Equations Arise in Physical Sciences

open access: yesEngineering International, 2021
Nonlinear partial differential equations are mostly renowned for depicting the underlying behavior of nonlinear phenomena relating to the nature of the real world.
Mst. Nasrin Nahar   +2 more
semanticscholar   +1 more source

Relativistic Chern–Simons–Higgs vortex equations [PDF]

open access: yes, 2015
An existence theorem is established for the solutions to the non-Abelian relativistic Chern-Simons-Higgs vortex equations over a doubly periodic domain when the gauge group G assumes the most general and important prototype form, G = SU(N).
Xiaosen Han, Yisong Yang
semanticscholar   +1 more source

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