二维热离子等离子体中离子声孤波的相互作用

通过使用推广的 Poincar-Lighthill-Kuo 摄动方法,研究了二维热离子等离子体中两个沿不同方向传播的离子声孤波的相互作用,得到了两个分别描述沿ξ和η方向传播的孤波的KdV方程以及两个孤波以任意夹角碰撞后的相移和轨道.同时还研究了离子温度比σ、热容比γ和碰撞夹角α对孤波相移的影响.研究表明,这些参量可以明显地改变孤波的相移,且在该系统中存在压缩型孤波. 关键词： 热离子等离子体 离子声孤波 Poincar-Lighthill-Kuo方法 相移     

Gain-guided soliton in a positive group-dispersion fiber laser

We report on the operation of a passively mode-locked fiber ring laser made of purely normal dispersive fibers. Self-started mode locking can still be achieved in the laser by use of the nonlinear polarization rotation technique, and the mode-locked pulse has large pulse energy, strong frequency chirp, and a mode-locked spectral width limited by the effective laser gain bandwidth. Furthermore, we show that the operation of the laser can be well described by an extended Ginzburg-Landau equation model that governs the soliton dynamics of fiber lasers.     

Ion acoustic soliton experiments in a plasma

This paper reviews recent laboratory experiments on ion acoustic solitons that are excited, propagate, and interact in a plasma. The solitons can be described with the Korteweg–deVries (KdV) equation, the modified Korteweg–deVries (mKdV) equation, or the Kadomtsev–Petviashvilli (KP) equation. The results should be applicable in non- linear optics experiments.     

Resonant electromagnetic soliton in a dense plasma

A study is made of the propagation of an electromagnetic wave along a constant magnetic field B₀ in a high-density plasma under cyclotron resonance conditions when the interaction between the electrons and the wave is strongly nonlinear. It is found that the relativistic reduction in the electron gyrofrequency in the field of the electromagnetic pulse stabilizes the wave. A solution is obtained in the form of an envelope soliton and it is shown that its group velocity is considerably reduced.State University, Rostov-on-Don. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 3–7, January, 1994.     

Light scattering studies of the ion acoustic instability in a positive column plasma

Light scattering is used to study the amplitude, spectrum, and angular distribution of the saturated state of the ion acoustic instability in a He positive column plasma. The ion acoustic waves are driven unstable by the electron current in the column. The properties of the saturated state are studied as a function of the concentration of hydrogen impurities which are found to be present in positive column plasmas. At concentrations of a few percent, the hydrogen ions can cause linear wave damping. Their role in saturating the instability by nonlinear processes is studied by varying the hydrogen concentration.     

Quadrupolar matter-wave soliton in two-dimensional free space

We study two-dimensional (2D) matter-wave solitons in the mean-field models formed by electric quadrupole particles with long-range quadrupole–quadrupole interaction (QQI) in 2D free space. The existence of 2D matter-wave solitons in the free space was predicted using the 2D Gross–Pitaevskii Equation (GPE). We find that the QQI solitons have a higher mass (smaller size and higher intensity) and stronger anisotropy than the dipole–dipole interaction (DDI) solitons under the same environmental parameters. Anisotropic soliton–soliton interaction between two identical QQI solitons in 2D free space is studied. Moreover, stable anisotropic dipole solitons are observed, to our knowledge, for the first time in 2D free space under anisotropic nonlocal cubic nonlinearity.     

Stable soliton complexes in two-dimensional photonic lattices

We show that two-dimensional photonic Kerr nonlinear lattices can support stable soliton complexes composed of several solitons packed together with appropriately engineered phases. This may open up new prospects for encoding pixellike images made of robust discrete or lattice solitons.     

一类两维光学格子中稳定的复合孤子

对两维光学格子中非线性薛定谔方程一类新的稳态解做了数值分析，发现其在传播过程中逐渐衰变为一种稳定的复合孤子，孤子的两分量在传播过程中不断交换能量，总能量守恒. 关键词： 稳态解 两维格子 孤子     

Molecular dynamics investigation of soliton propagation in a two-dimensional Yukawa liquid

We investigate via molecular dynamics simulations the propagation of solitons in a two-dimensional many-body system characterized by Yukawa interaction potential. The solitons are created in an equilibrated system by the application of electric field pulses. Such pulses generate pairs of solitons, which are characterized by a positive and negative density peak, respectively, and which propagate into opposite directions. At small perturbation, the features propagate with the longitudinal sound speed, from which an increasing deviation is found at higher density perturbations. An external magnetic field is found to block the propagation of the solitons, which can, however, be released upon the termination of the magnetic field and can propagate further into directions that depend on the time of trapping and the magnetic field strength.     

Quantum entanglement in a two—dimensional ion trap

In this paper,we investigate the quantum entanglement in a two-dimensional ion trap system.we discuss the quantum entanglement between the ion and phonons by using reduced entropy,and that between two degrees of freedom of the vibrational motion along x and y directions by using quantum relative entropy.We discuss also the influence of initial state of the system on the quantum entanglement and the relation between two entanglements in the trapped ion system.     

Minimizing bending losses in two-dimensional discrete soliton networks

We show that reflection losses suffered by discrete solitons along sharp bends in two-dimensional waveguide-array networks can be almost eliminated. Analysis indicates that this can be accomplished by appropriately engineering the corner site of the bend. Our analytical results are verified by numerical simulations.     

Ion acoustic soliton propagation in a magnetized relativistic plasma

Summary The Korteweg-de Vries equation for ion acoustic waves in the presence of weakly relativistic ion streaming velocity is derived in a magnetic plasma. It is found that relativistic effects are important in the solitary wave propagation for both fast and slow modes. Earlier results are reconfirmed. To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.     

Vortex interaction and the two-dimensional dark soliton

We study vortex interaction and a two-dimensional dark soliton in the two-dimensional Gross-Pitaevskii equation. A vortex-antivortex pair propagates with a constant velocity when the initial distance is large. But complicated behaviors appear when the initial distance of two vortices becomes smaller. If the initial distance is sufficiently small, a two-dimensional dark solution is created as a result of the pair annihilation. The two-dimensional dark soliton has an anisotropic structure and propagates in a certain direction. The two-dimensional dark soliton is stable against head-on collision.     

Possibility of the propagation of an electromagnetic soliton in a two-dimensional superlattice

A two-dimensional electron structure in a system with a periodic potential, i.e., a two-dimensional superlattice, is investigated. An equation is derived describing the propagation of an electromagnetic wave in a two-dimensional superlattice. It is shown that an electromagnetic soliton can propagate in a two-dimensional superlattice, where it is detectable experimentally because it can induce a pulsed entrainment current. The influence of an elliptically polarized (specified) electromagnetic wave on the form of the soliton is also investigated. It is shown that a solitary wave can be amplified under certain conditions. Fiz. Tverd. Tela (St. Petersburg) 39, 1470–1472 (August 1997)     

Symmetric and antisymmetric soliton states in two-dimensional photonic lattices

We study the dynamics of off-site excitation in an optically induced waveguide lattice. A single beam centered between two waveguides leads to an asymmetric beam profile as the nonlinearity reaches a threshold. When two probe beams are launched in parallel into two nearby off-site locations, they form symmetric or antisymmetric (twisted) soliton states, depending on their relative phase. A transition of intensity pattern from on-site to off-site locations is also observed as the lattice is excited by a quasi-one-dimensional plane wave.     

Two-dimensional relativistic electromagnetic dromion-like soliton in a cold transparent plasma

By using a standard multiple scale method, a Davey--Stewartson (DS) equation has been derived and also applied to a multi-dimensional analytical investigation on the interaction of an ultra-intense laser pulse with a cold unmagnetized transparent electron-ion plasma. The regions of instability are found by considering the modulation instability of a plane wave solution of the DS equation. The DS equation is just of the Davey--Stewartson 1 (DS1) type and admits a dromion solution, i.e. a two-dimensional (2D) dromion soliton decaying exponentially in all spatial directions. A 2D relativistic electromagnetic dromion-like soliton (2D REDLS) is derived for a vector potential.     

Bethe ansatz study of two-dimensional soliton lattice melting

We study the melting of incommensurate soliton lattice using the exact Bethe ansatz solution of one-dimensional quantum sine-Gordon Hamiltonian with U(1) coupling. The elastic moduli of soliton lattice are obtained and their asymptotic behaviors are explicitly calculated both at zero and finite temperature. We have obtained the thermodynamic phase boundaries of the soliton lattice and shown that the direct commensurate-incommensurate transitions are intervened by the fluid phase for T>0 as predicted by Coppersmith et al. [Coppersmith et al., Phys. Rev. Lett. 46 (1981) 549. [1]] for n≤2.     

Ion-acoustic dressed soliton in electron-ion quantum plasma

Ion acoustic dressed soliton in an unmagnetized two-species electron-ion quantum plasma is studied. Using reductive perturbation technique, a higher order inhomogeneous (KdV-type) differential equation is derived for the second order correction. The nonsecular solution is obtained by using renormalization procedure. A new technique is used to obtain the particular solution of the higher order inhomogeneous equation which is found to be simpler compared to the technique used by previous investigators.     

Asymptotic theory of plane soliton self-focusing in two-dimensional wave media

An asymptotic method is developed to describe a long-term evolution of unstable quasi-plane solitary waves in the Kadomtsev-Petviashvili model for two-dimensional wave media with positive dispersion. An approximate equation is derived for the parameters of soliton transversal modulation and a general solution of this equation is found in an explicit form. It is shown that the development of periodic soliton modulation, in an unstable region, leads to saturation and formation of a two-dimensional stationary wave. This process is accompanied by the radiation of a small-amplitude plane soliton. In a stable region, an amplitude of the modulation is permanently decreasing due to radiation of quasi-harmonic wave packets. The multiperiodic regime of plane soliton self-focusing is also investigated.