Results 21 to 30 of about 219 (69)
Two-Dimensional Toda-Heisenberg Lattice [PDF]
, 2013 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 +2 more sources
Journal of Ocean Engineering and Science, 2022 This work aims to construct exact solutions for the space-time fractional (2 + 1)- dimensional dispersive longwave (DLW) equation and approximate long water wave equation (ALW) utilizing the two-variable (G′/G,1/G)-expansion method and the modified ...
Mohammad Asif Arefin +3 more
doaj +1 more source
Fractional Analogous Models in Mechanics and Gravity Theories [PDF]
, 2010 We briefly review our recent results on the geometry of nonholonomic manifolds and Lagrange--Finsler spaces and fractional calculus with Caputo derivatives. Such constructions are used for elaborating analogous models of fractional gravity and fractional
D Baleanu +5 more
core +1 more source
Alexandria 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
Alexandria 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
On Darboux transformations for the derivative nonlinear Schr\"odinger equation [PDF]
, 2014 We consider Darboux transformations for the derivative nonlinear Schr\"odinger equation. A new theorem for Darboux transformations of operators with no derivative term are presented and proved.
Nimmo, Jonathan J. C., Yilmaz, Halis
core +2 more sources
Analytical behavior of weakly dispersive surface and internal waves in the ocean
Journal 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
Partial 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
On the N-Solitons Solutions in the Novikov-Veselov Equation [PDF]
, 2013 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 +4 more sources
Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables [PDF]
, 2015 Using matrix identities, we construct explicit pseudo-exponential-type solutions of linear Dirac, Loewner and Schr\"odinger equations depending on two variables and of nonlinear wave equations depending on three ...
Fritzsche, Bernd +3 more
core +2 more sources