Results 21 to 30 of about 1,529 (58)

Solitary wave solution to the generalized nonlinear Schrodinger equation for dispersive permittivity and permeability

, 2010
We present a solitary wave solution of the generalized nonlinear Schrodinger equation for dispersive permittivity and permeability using a scaling transformation and coupled amplitude-phase formulation.
A. K. Sarma, A.A. Zharov, D.N. Christodoulides, D.R. Smith, G. D’Aguanno, G. D’Aguanno, I. Kourakis, J. Zhou, J.B. Pendry, J.R. Thomas, M. Gedalin, M. Lapine, M. Marklund, M. Scalora, M.W. Klein, N. Lazarides, R.A. Shelby, R.W. Ziolkowski, S. O’Brien, S. Wen, S. Wen, S. Zhang, V.G. Veselago, V.M. Agranovich, V.M. Shalaev, W.T. Lu, X. Dai   +26 more
core   +1 more source

The Darboux Transformation for a New Fractional Schrödinger Equation Hierarchy

Advances in Mathematical Physics
PACS: 02.30.Ik, 05.45.Yv.
Xiao-ming Zhu, Jian-bing Zhang, Shou-ting Chen   +2 more
doaj   +1 more source

Multi-soliton rational solutions for some nonlinear evolution equations

Open Physics, 2016
The Korteweg-de Vries equation (KdV) and the (2+ 1)-dimensional Nizhnik-Novikov-Veselov system (NNV) are presented. Multi-soliton rational solutions of these equations are obtained via the generalized unified method.
Osman Mohamed S.
doaj   +1 more source

Dynamical localization of matter wave solitons in managed barrier potentials

, 2006
The bright matter wave soliton propagation through a barrier with a rapidly oscillating position is investigated. The averaged over rapid oscillations Gross-Pitaevskii (GP) equation is derived.
F. Kh. Abdullaev, Fatkhulla Kh. Abdullaev, Josselin Garnier, M. L. Chiofalo, W. K. Hensinger   +4 more
core   +1 more source

Higher-order integrable evolution equation and its soliton solutions [PDF]

, 2014
We consider an extended nonlinear Schrödinger equation with higher-order odd and even terms with independent variable coefficients. We demonstrate its integrability, provide its Lax pair, and, applying the Darboux transformation, present its first and ...
Akhmediev, Nail, Ankiewicz, Adrian
core   +1 more source

Exact solutions of the Biswas-Milovic equation, the ZK(m,n,k) equation and the K(m,n) equation using the generalized Kudryashov method

Open Physics, 2016
In this article, we apply the generalized Kudryashov method for finding exact solutions of three nonlinear partial differential equations (PDEs), namely: the Biswas-Milovic equation with dual-power law nonlinearity; the Zakharov--Kuznetsov equation (ZK(m,
Zayed EL Sayed M.E., Al-Nowehy Abdul-Ghani   +1 more
doaj   +1 more source

Modulational instability of spatially broadband nonlinear optical pulses in four-state atomic systems

, 2006
The modulational instability of broadband optical pulses in a four-state atomic system is investigated. In particular, starting from a recently derived generalized nonlinear Schr\"odinger equation, a wave-kinetic equation is derived. A comparison between
A. Braun, B. Bingham, J. T. Mendonça, J. T. Mendonça, M. Marklund, P. K. Shukla, Yu. L. Klimontovich   +6 more
core   +1 more source

Structure of traveling wave solutions for some nonlinear models via modified mathematical method

Open Physics, 2018
We have employed the exp(-φ(ξ))-expansion method to derive traveling waves solutions of breaking solition (BS), Zakharov-Kuznetsov-Burgers (ZKB), Ablowitz-Kaup-Newell-Segur (AKNS) water wave, Unstable nonlinear Schrödinger (UNLS) and Dodd-Bullough ...
Lu Dianchen, R.Seadawy Aly, Ali Asghar
doaj   +1 more source

Localized growth modes, dynamic textures, and upper critical dimension for the Kardar-Parisi-Zhang equation in the weak noise limit [PDF]

, 2004
A nonperturbative weak noise scheme is applied to the Kardar-Parisi-Zhang equation for a growing interface in all dimensions. It is shown that the growth morphology can be interpreted in terms of a dynamically evolving texture of localized growth modes ...
Hans C. Fogedby, M. I. Freidlin
core   +1 more source

Construction of new solitary wave solutions of generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony and simplified modified form of Camassa-Holm equations

Open Physics, 2018
In this research work, for the first time we introduced and described the new method, which is modified extended auxiliary equation mapping method.
Lu Dianchen, Seadawy Aly R., Iqbal Mujahid   +2 more
doaj   +1 more source