Results 1 to 10 of about 102 (85)

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

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.
Islam, Md. Tarikul   +2 more
core   +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

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

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

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

Painlevé analysis, auto-Bäcklund transformation and new exact solutions of (2+1) and (3+1)-dimensional extended Sakovich equation with time dependent variable coefficients in ocean physics

open access: yesJournal of Ocean Engineering and Science, 2023
This article considers time-dependent variable coefficients (2+1) and (3+1)-dimensional extended Sakovich equation. Painlevé analysis and auto-Bäcklund transformation methods are used to examine both the considered equations.
Shailendra Singh, S. Saha Ray
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

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

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