共查询到20条相似文献,搜索用时 12 毫秒
1.
Mousumi Ballav A. Roy Chowdhury 《Communications in Nonlinear Science & Numerical Simulation》2007,12(8):1440-1453
Properties of spatial solitons in channel waveguide and optical lattice are studied with the help of projection operator approach. The nonlinearity is assumed to be of cubic-quintic type. The stability consideration of the fixed point solutions of the ODE’s governing the evolution of soliton parameters indicates to the existence of more than one branch of soliton, giving rise to multistability. Explicit numerical analysis gives more information than the standard Vakhitov–Kolokov criterion. A systematic numerical simulation of the soliton profile gives detailed information about the nature of trapping and structure of the different branches of the pulse. It is observed that even under different launching conditions the solitons do not radiate but get trapped. 相似文献
2.
A theoretical description for solitons in polyacetylene 总被引:1,自引:0,他引:1
The bond-alternation domain walls or the solitons in the dimerized polyacetylene are analyzed theoretically. The width of the soliton is many times the period of the chain, so that the soliton can be reasonably well described by a continuum model. Because of the existence of the bond-alternation domain walls, the electron density is different definitely. Thus the electron density can be used to describe the formation of the domain walls, and a self-trapped potential is discussed and introduced in the Hamiltonian. It is shown that the envelope of the wave functions of the chain is governed by the nonlinear Schr?dinger equation which has soliton solutions. Then the shape of the soliton is determined analytically which is in accordance with the numerical calculations by Su, Schrieffer and Heeger. This implies that the bond-alternation domain wall or the soliton is observed as the envelope of the wave function. 相似文献
3.
This paper is concerned with the electromagnetic scattering by a nonperfectly conductor obstacle in chiral environment.A two-dimensional mathematical model is established.The existence and uniqueness o... 相似文献
4.
5.
This paper studies the mathematical structure of the kink soliton solution to the generalized dispersive SGE. All derivatives are found and the trigonometric functions of the kink are found for a generalized height. 相似文献
6.
M. J. Ablowitz B. Ilan E. Schonbrun R. Piestun 《Theoretical and Mathematical Physics》2007,151(3):723-734
We compute and study localized nonlinear modes (solitons) in the semi-infinite gap of the focusing two-dimensional nonlinear Schrödinger (NLS) equation with various irregular lattice-type potentials. The potentials are characterized by large variations from periodicity, such as vacancy defects, edge dislocations, and a quasicrystal structure. We use a spectral fixed-point computational scheme to obtain the solitons. The eigenvalue dependence of the soliton power indicates parameter regions of self-focusing instability; we compare these results with direct numerical simulations of the NLS equation. We show that in the general case, solitons on local lattice maximums collapse. Furthermore, we show that the Nth-order quasicrystal solitons approach Bessel solitons in the large-N limit. 相似文献
7.
The soliton physics for the propagation of waves is represented by a stochastic model in which the particles of the wave can jump ahead according to some probability distribution. We demonstrate the presence of a steady state (stationary distribution) for the wavelength. It is shown that the stationary distribution is a convolution of geometric random variables. Approximations to the stationary distribution are investigated for a large number of particles. The model is rich and includes Gaussian cases as limit distribution for the wavelength (when suitably normalized). A sufficient Lindeberg‐like condition identifies a class of solitons with normal behavior. Our general model includes, among many other reasonable alternatives, an exponential aging soliton, of which the uniform soliton is one special subcase (with Gumbel's stationary distribution). With the proper interpretation, our model also includes the deterministic model proposed in Takahashi and Satsuma [A soliton cellular automaton, J Phys Soc Japan 59 (1990), 3514–3519]. © 2003 Wiley Periodicals, Inc. Random Struct. Alg., 2004 相似文献
8.
Here it is shown that any Finslerian compact Yamabe soliton with bounded above scalar curvature is of constant scalar curvature. Furthermore, this extension of Yamabe solitons is developed for inequalities and among the others, it is proved that a forward complete non-compact shrinking Yamabe soliton has finite fundamental group and its first cohomology group vanishes, providing the scalar curvature is strictly bounded above. 相似文献
9.
10.
D. A. Slavnov 《Theoretical and Mathematical Physics》2006,149(3):1690-1701
We describe a scheme for constructing quantum mechanics in which a quantum system is considered as a collection of open classical
subsystems. This allows using the formal classical logic and classical probability theory in quantum mechanics. Our approach
nevertheless allows completely reproducing the standard mathematical formalism of quantum mechanics and identifying its applicability
limits. We especially attend to the quantum state reduction problem.
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 149, No. 3, pp. 457–472, December, 2006. 相似文献
11.
Robert Carroll 《Applicable analysis》2013,92(11):1117-1149
We survey various origins and expressions for the quantum potential, expanding and extending the treatment given in a previous paper [R. Carroll, quant-ph 0401082]. 相似文献
12.
William Wylie 《Proceedings of the American Mathematical Society》2008,136(5):1803-1806
We show that if a complete Riemannian manifold supports a vector field such that the Ricci tensor plus the Lie derivative of the metric with respect to the vector field has a positive lower bound, then the fundamental group is finite. In particular, it follows that complete shrinking Ricci solitons and complete smooth metric measure spaces with a positive lower bound on the Bakry-Emery tensor have finite fundamental group. The method of proof is to generalize arguments of García-Río and Fernández-López in the compact case.
13.
《Mathematical Methods in the Applied Sciences》2018,41(12):4659-4675
We consider the electron propagation in a cylindrical quantum waveguide where D is a bounded domain in described by the Dirichlet problem for the Schrödinger operator where x=(x1, x2), , is the transversal confinement potential, and is the impurity potential. We construct the left and right transition matrices and give an numerical algorithm for their calculations based on the spectral parameter power series method. 相似文献
14.
15.
We deal with solitons of the mean curvature flow. The definition of translating solitons on a light-like direction in Minkowski 3-space is introduced. Firstly, we classify those which are graphical, translation surfaces, obtaining space-like and time-like, entire and not entire, complete and incomplete examples. Among them, all our time-like examples are incomplete. The second family consists of those which are invariant by a 1-dimensional subgroup of parabolic motions, i.e., with light-like axis. The classification result implies that all examples of this second family have singularities. 相似文献
16.
《中国科学 数学(英文版)》2012,(6):1221-1228
In this paper,we derive an estimate on the potential functions of complete noncompact gradient shrinking solitons of Ricci-harmonic flow,and show that complete noncompact gradient shrinking Ricci-harmonic solitons have Euclidean volume growth at most. 相似文献
17.
在量子信息理论中,量子纠缠态是一种非常重要的资源.探测给定量子态的纠缠性是一个极其重要的研究课题.2001年,Nielsen M A提出了一个判断两体量子态纠缠性的约化判据.之后,2005年William Hall又提出了一个有限维多体复合系统量子态的约化判据.将上述两类判据推广到了无限维多体量子系统情形,给出了无限维多体量子态全可分的两类约化判据. 相似文献
18.
Stopping criteria for inner iterations in inexact potential reduction methods: a computational study
S. Cafieri M. D’Apuzzo V. De Simone D. di Serafino 《Computational Optimization and Applications》2007,36(2-3):165-193
We focus on the use of adaptive stopping criteria in iterative methods for KKT systems that arise in Potential Reduction methods
for quadratic programming. The aim of these criteria is to relate the accuracy in the solution of the KKT system to the quality
of the current iterate, to get computational efficiency. We analyze a stopping criterion deriving from the convergence theory
of inexact Potential Reduction methods and investigate the possibility of relaxing it in order to reduce as much as possible
the overall computational cost. We also devise computational strategies to face a possible slowdown of convergence when an
insufficient accuracy is required. 相似文献
19.
We prove the existence of solutions to the nonlinear Schrödinger equation in with a magnetic potential . Here V represents the electric potential, the index p is greater than 1. Along some sequence tending to zero we exhibit complex-value solutions that concentrate along some closed curves. 相似文献
20.
Comprehensive numerical simulations of pulse solutions of the cubic-quintic Ginzburg-Landau equation (CGLE) reveal various
intriguing and entirely novel classes of solutions. In particular, there are five new classes of pulse or solitary wave solutions,
i.e., pulsating, creeping, snake, erupting, and chaotic solitons that are not stationary in time. They are spatially confined
pulse-type structures whose envelopes exhibit complicated temporal dynamics. The numerical simulations also reveal very interesting
bifurcation sequences of these pulses as the CGLE parameters are varied. We address the issues of central interest in this
area, i.e., the conditions for the occurrence of the five categories of dissipative solitons and also the dependence of both
their shape and their stability on the various CGLE parameters, i.e., the nonlinearity, dispersion, linear and nonlinear gain,
loss, and spectral filtering. Our predictions for the variation of the soliton amplitudes, widths, and periods with the CGLE
parameters agree with the simulation results. We here present detailed results for the pulsating solitary waves. Their regimes
of occurrence, bifurcations, and the parameter dependences of the amplitudes, widths, and periods agree with the simulation
results. We will address snakes and chaotic solitons in subsequent papers. This overall approach fails to address only the
dissipative solitons in one class, i.e., the exploding or erupting solitons.
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 152, No. 2, pp. 339–355, August, 2007. 相似文献