Results 11 to 20 of about 927 (70)

A note on solitary travelling-wave solutions to the transformed reduced Ostrovsky equation [PDF]

, 2010
Two recent papers are considered in which solitary travelling-wave solutions to the transformed reduced Ostrovsky equation are presented.
E.J. Parkes, Fan, Kangalgil, Kudryashov, Kudryashov, Kudryashov, Köroğlu, Parkes, Parkes, Parkes, Vakhnenko, Yusufoğlu   +11 more
core   +1 more source

Optimal system, nonlinear self-adjointness and conservation laws for generalized shallow water wave equation

Open Physics, 2018
In this article, the generalized shallow water wave (GSWW) equation is studied from the perspective of one dimensional optimal systems and their conservation laws (Cls).
Baleanu Dumitru, Inc Mustafa, Yusuf Abdullahi, Aliyu Aliyu Isa   +3 more
doaj   +1 more source

Comment on “Application of (G′/G)-expansion method to travelling-wave solutions of three nonlinear evolution equation" [Comput Fluids 2010;39;1957-63] [PDF]

, 2011
In a recent paper [Abazari R. Application of (G′ G )-expansion method to travelling wave solutions of three nonlinear evolution equation. Computers & Fluids 2010;39:1957–1963], the (G′/G)-expansion method was used to find travelling-wave solutions to ...
Abazari, Aslan, E.J. Parkes, Fan, Kangalgil, Kudryashov, Kudryashov, Köroğlu, Liu, Parkes, Parkes, Parkes, Parkes, Parkes, Wang   +14 more
core   +1 more source

Instability conditions for some periodic BGK waves in the Vlasov-Poisson system

, 2014
A one-dimensional, collisionless plasma given by the Vlasov-Poisson system is considered and the stability properties of periodic steady state solutions known as Bernstein-Greene-Kruskal (BGK) waves are investigated.
Allen, Robert, Pankavich, Stephen
core   +1 more source

On combined optical solitons of the one-dimensional Schrödinger’s equation with time dependent coefficients

Open Physics, 2016
This paper integrates dispersive optical solitons in special optical metamaterials with a time dependent coefficient. We obtained some optical solitons of the aforementioned equation.
Kilic Bulent, Inc Mustafa, Baleanu Dumitru   +2 more
doaj   +1 more source

Realizations of Galilei algebras

, 2016
All inequivalent realizations of the Galilei algebras of dimensions not greater than five are constructed using the algebraic approach proposed by I. Shirokov.
Nesterenko, Maryna, Posta, Severin, Vaneeva, Olena   +2 more
core   +1 more source

Utmost travelling wave phenomena to the fractional type nonlinear evolution equation in mathematical physics

Partial Differential Equations in Applied Mathematics
In applied physics and engineering, non-linear fractional types of partial differential equations become increasingly prominent as an estimation technique to explain a wide variety of non-linear phenomena.
U.H.M. Zaman, Mohammad Asif Arefin, M. Ali Akbar, M. Hafiz Uddin   +3 more
doaj   +1 more source

Theory of Circle Maps and the Problem of One-Dimensional Optical Resonator with a Periodically Moving Wall

, 1998
We consider the electromagnetic field in a cavity with a periodically oscillating perfectly reflecting boundary and show that the mathematical theory of circle maps leads to several physical predictions.
A. Denjoy, A. Einstein, A. I. Miller, A. Katok, A. M. Davie, C. E. Wayne, C. K. Cole, C. K. Law, C. K. Law, C. K. Law, D. Ruelle, F. John, G. E. Forsythe, G. Popov, G. T. Moore, G. Świa̧tek, H. F. Weinberger, H. Johnston, H. Poincaré, J. A. Glazier, J. Cooper, J. Cooper, J. Cooper, J. Dittrich, J. Dittrich, J. Graczyk, J. Hawkins, J. Moser, J.-C. Yoccoz, M. Brack, M. C. Gutzwiller, M. H. Jensen, M. R. Herman, M. R. Herman, N. Balazs, N. Gonzalez, Nikola P. Petrov, O. E. Lanford, O. E. Lanford III, P. Cvitanović, P. R. Garabedian, Rafael de la Llave, S. A. Fulling, S. J. Shenker, V. I. Arnold, V. M. Mostepanenko, V. V. Dodonov, V. V. Dodonov, W. C. Henneberger, W. Pauli, Y. Katznelson, Y. Pomeau   +51 more
core   +2 more sources

A note on loop-soliton solutions of the short-pulse equation [PDF]

, 2010
It is shown that the N-loop soliton solution to the short-pulse equation may be decomposed exactly into N separate soliton elements by using a Moloney-Hodnett type decomposition.
Parkes, E.J.
core   +1 more source

Time fractional modified KdV-type equations: Lie symmetries, exact solutions and conservation laws

Open Physics, 2019
In the paper, we research a time fractional modified KdV-type equations.We give the symmetry reductions and exact solutions of the equations, and we investigate the convergence of the solutions.
He Fangqin, Li Lianzhong
doaj   +1 more source