Results 61 to 70 of about 40,499 (216)

The Geometrodynamics of Sine-Gordon Solitons [PDF]

, 1998
The relationship between N-soliton solutions to the Euclidean sine-Gordon equation and Lorentzian black holes in Jackiw-Teitelboim dilaton gravity is investigated, with emphasis on the important role played by the dilaton in determining the black hole ...
A. Ashtekar, C. G. Torre, D. Louis-Martinez, G. Kunstatter, G. Kunstatter, J. Gegenberg, J. Gegenberg, J. Gegenberg, J. P. S Lemos, J. P. S. Lemos, K. Kuchar, L. A. Takhtadzhyan, L. Dolan, L. J. Boya, M. Banados, M. Banados, M. Banados, O. Babelon, P. A. M. Dirac, P. J. Caudrey, R. B. Mann, S. Bose, S. Carlip, S. Ramanujan   +23 more
core   +2 more sources

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source

Exact soliton solution and inelastic two-soliton collision in spin chain driven by a time-dependent magnetic field

, 2005
We investigate dynamics of exact N-soliton trains in spin chain driven by a time-dependent magnetic field by means of an inverse scattering transformation.
A.E. Bolovik, A.E. Borovik, A.E. Borovik, F.C. Pu, G.R.W. Quispel, H.C. Fogedby, H.J. Mikeska, J. Tjon, J.K. Kjems, J.P. Boucher, J.P. Boucher, Jiu-Qing Liang, K.A. Long, L.A. Takhtajan, L.D. Landau, L.J. de Jongh, Lu Li, M. Laksmanan, N.N. Huang, R.C. Thiel, T. Asano, T. Shimizu, T. Ziman, W. M. Liu, W.M. Liu, W.M. Liu, W.M. Liu, W.M. Liu, Y.S. Kivshar, Z.Y. Chen, Zai-Dong Li   +30 more
core   +1 more source

The Exp-Function Method and n-Soliton Solutions

Zeitschrift für Naturforschung A, 2008
We generalize the exp-function method recently proposed by He and Wu [Chaos, Solitons and Fractals 30, 700 (2006)]. We apply this generalized method to the Korteweg-de Vries equation and derive the known 2-soliton and 3-soliton solutions. We also discuss the efficiency, as well as the drawbacks of the proposed method.
openaire   +1 more source

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

An integrable semi-discretization of the Camassa-Holm equation and its determinant solution

, 2008
An integrable semi-discretization of the Camassa-Holm equation is presented. The keys of its construction are bilinear forms and determinant structure of solutions of the CH equation.
Ablowitz M J, Ablowitz M J, Bao-Feng Feng, Dai H H, Ferreira M C, Grammaticos B, Holden H, Hone A N W, Iwasaki M, Ken-ichi Maruno, Kraenkel R A, Levi D, Yasuhiro Ohta   +12 more
core   +1 more source

The N-soliton solution of a two-component modified nonlinear Schrödinger equation [PDF]

Physics Letters A, 2011
To appear in Phys. Lett. A (2011)
openaire   +2 more sources

Enhanced Nonlinear Optical Absorption Properties and Carrier Dynamics of Violet Phosphorene by Oxidation for Ultrafast Photonic Applications

ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
This study investigates the effects of oxidation treatment on the nonlinear optical absorption properties and carrier dynamics of two‐dimensional violet phosphorene (VP), elucidating the underlying physical mechanisms. Furthermore, ultrashort laser pulses are achieved utilizing the enhanced saturation absorption and shortened carrier relaxation ...
Bo Li, Han Pan, Qingling Tang, Zhongben Pan, Hongwei Chu, Ying Li, Dechun Li   +6 more
wiley   +1 more source

Bilinearization and new multi-soliton solutions of mKdV hierarchy with time-dependent coefficients

Open Physics, 2016
In this paper, Hirota’s bilinear method is extended to a new modified Kortweg–de Vries (mKdV) hierarchy with time-dependent coefficients. To begin with, we give a bilinear form of the mKdV hierarchy. Based on the bilinear form, we then obtain one-soliton,
Zhang Sheng, Zhang Luyao
doaj   +1 more source

Compactons and topological solitons of the Drinfel'd–Sokolov system

Nonlinear Analysis, 2014
This paper presents the Drinfel’d–Sokolov system (shortly D(m, n)) in a detailed fashion. The Jacobi’s elliptic function method is employed to extract the cnoidal and snoidal wave solutions. The compacton and solitary pattern solutions are also retrieved.
Mustafa Inc, Eda Fendoglu, Houria Triki, Anjan Biswas   +3 more
doaj   +1 more source