Results 11 to 20 of about 228 (77)

On compact Ricci solitons in Finsler geometry [PDF]

open access: yes, 2015
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   +3 more sources

Fractional Analogous Models in Mechanics and Gravity Theories [PDF]

open access: yes, 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

On Darboux transformations for the derivative nonlinear Schr\"odinger equation [PDF]

open access: yes, 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

Two-Dimensional Toda-Heisenberg Lattice [PDF]

open access: yes, 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

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

open access: yes, 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

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  

A NOTE ON THE EXISTENCE OF SOLITARY WAVES TO THE REGULARIZED BENJAMIN-ONO ZAKHAROV-KUZNETSOV (rBO-ZK) EQUATION

open access: yes, 2015
In this paper, we examine the existence of solitary waves to the following equation ut + a(u )x + (bH ut + uyy)x = 0, where H is the Hilbert transform with respect to x, and a and b are real numbers, with b > 0, via a variant of the mountain pass lemma ...
F. S. Salazar, M. Higuera
semanticscholar   +1 more source

Plenty of analytical and semi-analytical wave solutions of shallow water beneath gravity

open access: yesJournal of Ocean Engineering and Science, 2022
This article studies novel soliton wave solutions of the nonlinear fractional ill-posed Boussinesq (NLFIPB) dynamic wave equation by applying the extended Riccati-expansion (ERE) method.
Mostafa M.A. Khater, Samir A. Salama
doaj  

SOLUTIONS OF THE NONLINEAR DIFFERENTIAL EQUATIONS BY USE OF SYMMETRIC FIBONACCI FUNCTIONS

open access: yes, 2013
Based on Kudryashov’s method and the Fibonacci or Lucas Riccati equation method, some new solutions of a non-integrable nonlinear partial differential equation are found. Also, some basic properties of symmetric Fibonacci and Lucas functions are given in
Y. Pandir, Y. A. Tandogan
semanticscholar   +1 more source

A variety of physical structures to the generalized equal-width equation derived from Wazwaz-Benjamin-Bona-Mahony model

open access: yesJournal of Ocean Engineering and Science, 2022
In this paper we are interested in investigating the physical shape-changed propagations to the generalized Equal-Width equation through studying the explicit solutions of Wazwaz-Benjamin-Bona-Mahony model.
Imad Jaradat, Marwan Alquran
doaj  

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