Results 21 to 30 of about 249 (94)

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

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

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

On compact Ricci solitons in Finsler geometry [PDF]

open access: yes
Ricci solitons on Finsler spaces, previously developed by the present authors, are a generalization of Einstein spaces, which can be considered as a solution to the Ricci flow on compact Finsler manifolds.
Ahmadi, Mohamad Yar, Bidabad, Behroz
core   +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

On the N-Solitons Solutions in the Novikov-Veselov Equation [PDF]

open access: yes
We construct the $N$-solitons solution in the Novikov-Veselov equation from the extended Moutard transformation and the Pfaffian structure. Also, the corresponding wave functions are obtained explicitly.
Chang, Jen-Hsu
core   +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

Two-Dimensional Toda-Heisenberg Lattice [PDF]

open access: yes
We consider a nonlinear model that is a combination of the anisotropic two-dimensional classical Heisenberg and Toda-like lattices. In the framework of the Hirota direct approach, we present the field equations of this model as a bilinear system, which ...
Vekslerchik, Vadim E.
core   +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

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