Results 11 to 20 of about 228 (77)
On compact Ricci solitons in Finsler geometry [PDF]
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
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Fractional Analogous Models in Mechanics and Gravity Theories [PDF]
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
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On Darboux transformations for the derivative nonlinear Schr\"odinger equation [PDF]
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
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Two-Dimensional Toda-Heisenberg Lattice [PDF]
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.
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On the N-Solitons Solutions in the Novikov-Veselov Equation [PDF]
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
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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
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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
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Plenty of analytical and semi-analytical wave solutions of shallow water beneath gravity
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
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SOLUTIONS OF THE NONLINEAR DIFFERENTIAL EQUATIONS BY USE OF SYMMETRIC FIBONACCI FUNCTIONS
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
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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
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