Results 21 to 30 of about 50 (50)

The new solitary wave structures for the (2 + 1)-dimensional time-fractional Schrodinger equation and the space-time nonlinear conformable fractional Bogoyavlenskii equations

open access: yesAlexandria Engineering Journal, 2020
The present paper employs the space-time fractional nonlinear Bogoyavlenskii equation and Schrodinger equation. We perform a new method to take some new solitary wave phenomena for each equation.
Md Nur Alam, Cemil Tunç
doaj   +1 more source

New dynamical soliton propagation of fractional type couple modified equal-width and Boussinesq equations

open access: yesAlexandria Engineering Journal, 2022
The space–time fractional coupled modified equal-width equation and the coupled Boussinesq equation are a category of fractional partial differential equations, which might be crucial mathematical feathers in nonlinear optics, solid-state physics ...
M. Ayesha Khatun   +4 more
doaj   +1 more source

Analytical behavior of weakly dispersive surface and internal waves in the ocean

open access: yesJournal of Ocean Engineering and Science, 2022
The (2+1)-dimensional interaction of a Riemann wave propagating along the y-axis with a long wave along the x-axis is described by the space-time fractional Calogero-Degasperis (CD) and fractional potential Kadomstev-Petviashvili (PKP) equation.
Mohammad Asif Arefin   +3 more
doaj   +1 more source

Solitary wave solutions and investigation the effects of different wave velocities of the nonlinear modified Zakharov–Kuznetsov model for the wave propagation in nonlinear media

open access: yesPartial Differential Equations in Applied Mathematics, 2023
The modified Zakharov-Kuznetsov (mZK) model convey a significant role to analyze the inner mechanism of physical compound phenomenon in the field of two-dimensional discrete electrical lattice, the electrical waves in cold plasmas, plasma physics ...
Farah Umme Afrin
doaj   +1 more source

The agreement between novel exact and numerical solutions of nonlinear models

open access: yesPartial Differential Equations in Applied Mathematics, 2023
Nonlinear models (NLMs), being an important topic in mathematical physics, have attracted a lot of attention in the international research community because they have numerous uses in human life. These NLMs are typically implemented to illuminate various
Md. Nur Alam, S. M. Rayhanul Islam
doaj   +1 more source

Utilizing the extended tanh-function technique to scrutinize fractional order nonlinear partial differential equations

open access: yesPartial Differential Equations in Applied Mathematics, 2023
In a range of nonlinear fields, for example molecular biology, physics in plasma, quantum mechanics, elastic media, nonlinear optics, the surface of water waves, and others, many complicated nonlinear behaviors can be pronounced using nonlinear ...
U.H.M. Zaman   +3 more
doaj   +1 more source

Integrable system of null curve and Betchov-Da Rios equation

open access: yesDemonstratio Mathematica
This study focuses on the time evolution of a null curve using a new frame and a new transformation in Minkowski 3-space. Accordingly, Landau–Lifshitz and coupled Boussinesq-like equations for the null curve are provided in terms of the new ...
Yoon Dae Won
doaj   +1 more source

Exact solutions for the ion sound Langmuir wave model by using two novel analytical methods

open access: yesResults in Physics, 2020
In the present paper, the system of equations for the ion sound and Langmuir waves (SEISLWs) is considered to obtain the new solitary wave solutions of the non-linear evolution equations. Here, we used the relatively two new analytical methods to achieve
A. Tripathy, S. Sahoo
doaj   +1 more source

Boussinesq’s equation for water waves: the soliton resolution conjecture for Sector IV

open access: yesAdvanced Nonlinear Studies
We consider the Boussinesq equation on the line for a broad class of Schwartz initial data relevant for water waves. In a recent work, we identified ten main sectors describing the asymptotic behavior of the solution, and for each of these sectors we ...
Charlier Christophe, Lenells Jonatan
doaj   +1 more source

Some electrostatic structures of the mKP equation for a nonthermal plasma system by a unified solver technique

open access: yesJournal of Taibah University for Science, 2023
The reductive perturbation technique is used to obtain the Modified KP equation at critical densities distinguished by the MKPE in plasma ion pair with fast electron positron. The new structures reveal that super-solitary and period waveforms are derived
H. G. Abdelwahed
doaj   +1 more source

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