共查询到20条相似文献,搜索用时 23 毫秒
1.
The ultimate theme of this study is to develop dipole and combo optical solitons in birefringent fibers (BF) along with the effect of four-wave mixing (4WM). Two types of rough mediums are used which are Kerr law and parabolic law. Ansatz method of Choudhuri is applied to obtain dark in the bright (dipole) soliton solutions providing bright background for the propagation of optical dark pulse. Ansatz method of Li is applied to obtain combo soliton solutions providing bright solitary wave and dark solitary wave solutions. These results also exist to hold in non-Kerr media with higher order dispersion. 相似文献
2.
含高阶非线性效应的薛定谔方程的精确解研究 总被引:1,自引:0,他引:1
利用孤子理论,研究了含三次和五次非线性项的非线性薛定谔方程,在参数取不同值时得到了方程的新型亮孤子解、新型暗孤子解和新的三角函数周期解。 相似文献
3.
Exact analytical solutions for pulse propagation in a nonlinear coupled cubic–quintic complex Ginzburg–Landau equations are obtained. Three families of solitary waves which describe the evolutions of progressive bright–bright, front–front, dark–dark and other families of solitary waves are investigated. These exact solutions are analyzed both for competition of loss or gain due to nonlinearity and linearity of the system. The stability of the solitary waves is examined using analytical and numerical methods. The results reveal that the solitary waves obtained here can propagate in a stable way under slight perturbation of white noise and the disturbance of parameters of the system. 相似文献
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By making use of the generalized sine-Gordon equation expansion method, we find cnoidal periodic wave solutions and fundamental bright and dark optical solitarywave solutions for the fourth-order dispersive and the quintic nonlinear Schrodinger equation with self-steepening, and self-frequency shift. Moreover, we discuss the formation conditions of the bright and dark solitary waves. 相似文献
6.
A new kind of non-polynomial nonlinearity is introduced in the nonlinear Schrödinger equation (NLSE) and the conditions are determined for which it admits solitary wave solutions. The study is done for two cases: one in which the nonlinear interaction is of the non-polynomial form and second in which cubic nonlinearity is also included along with the radical nonlinearity. Dark and bright solitary waves solutions are obtained in the respective cases. Further, later case is extended to conditions for which corresponding equation reduces to driven quadratic-cubic NLSE possessing cnoidal solutions with plane wave phase, which reduces to bright soliton for a certain parameter. 相似文献
7.
We present new types of solitary wave solutions for the higher order nonlinear Schrodinger (HNLS) equation describing propagation of femtosecond light pulses in an optical fiber under certain parametric conditions. Unlike the reported solitary wave solutions of the HNLS equation, the novel ones can describe bright and dark solitary wave properties in the same expressions and their amplitude may approach nonzero when the time variable approaches infinity. In addition, such solutions cannot exist in the nonlinear Schrodinger equation. Furthermore, we investigate the stability of these solitary waves under some initial pertubations by employing the numerical simulation methods. 相似文献
8.
在光纤零群速色散区传输的光孤子波 总被引:1,自引:0,他引:1
通过对超短光脉冲在单模光纤中传输方程的分析研究,给出了在零群速色散传输方程的亮,反波解。结果表明,超短光脉中在光纤的零群群速色散仍能以亮,暗孤波的形式传输,且不存在孤子自频移现象。 相似文献
9.
This study reveals the dark, bright, combined dark–bright, singular, combined singular optical solitons and singular periodic solutions to the conformable space–time fractional complex Ginzburg–Landau equation. We reach such solutions via the powerful extended sinh-Gordon equation expansion method (ShGEEM). Constraint conditions that guarantee the existence of valid solitary wave solutions are given. Under suitable choice of the parameter values, interesting three-dimensional graphs of some of the obtained solutions are plotted. 相似文献
10.
The searching exact solutions in the solitary wave form of non-linear partial differential equations(PDEs play a significant role to understand the internal mechanism of complex physical phenomena. In this paper, we employ the proposed modified extended mapping method for constructing the exact solitary wave and soliton solutions of coupled Klein-Gordon equations and the(2+1)-dimensional cubic Klein-Gordon(K-G) equation. The Klein-Gordon equation are relativistic version of Schr¨odinger equations, which describe the relation of relativistic energy-momentum in the form of quantized version. We productively achieve exact solutions involving parameters such as dark and bright solitary waves, Kink solitary wave, anti-Kink solitary wave, periodic solitary waves, and hyperbolic functions in which severa solutions are novel. We plot the three-dimensional surface of some obtained solutions in this study. It is recognized that the modified mapping technique presents a more prestigious mathematical tool for acquiring analytical solutions o PDEs arise in mathematical physics. 相似文献
11.
In this paper, the topological (dark) as well as non-topological (bright) soliton solutions to the Rosenau-Kawahara equation
with power law nonlinearity are obtained by the solitary wave ansatz method. A couple of conserved quantities are also calculated
for the case of bright soliton solution. 相似文献
12.
LI Hua-Mei 《理论物理通讯》2007,47(1):63-68
Evolution of periodic waves and solitary waves in Bose-Einstein condensates (BECs) with time-dependent atomic scattering length in an expulsive parabolic potential is studied. Based on the mapping deformation method, we successfully obtain periodic wave solutions and solitary wave solutions, including the bright and dark soliton solutions.The results in this paper include some in the literatures [Phys. Rev. Lett. 94 (2005) 050402 and Chin. Phys. Left. 22 (2005) 1855]. 相似文献
13.
高阶非线性薛定谔方程的精确周期解和孤波解 总被引:1,自引:1,他引:0
本文利用行波约化方法,研究了用于描述飞秒光脉冲传输的高阶非线性薛定谔方程,得到了它的包络型Jacobian椭圆函数双周期解和孤波解.分析结果表明亮孤子的存在依赖于负三阶色散效应,暗孤子的存在依赖于正三阶色散效应. 相似文献
14.
The Bosonized Supersymmetric Sawada–Kotera(BSSK) system is constructed by applying bosonization method to a Supersymmetric Sawada–Kotera system in this paper. The symmetries on the BSSK equations are researched and the calculation shows that the BSSK equations are invariant under the scaling transformations, the space-time translations and Galilean boosts. The one-parameter invariant subgroups and the corresponding invariant solutions are researched for the BSSK equations. Four types of reduction equations and similarity solutions are proposed. Period Cnoidal wave solutions, dark solitary wave solutions and bright solitary wave solutions of the BSSK equations are demonstrated and some evolution curves of the exact solutions are figured out. 相似文献
15.
Exact soliton solutions of the dark discrete nonlinear Schrtidinger (DNLS) equation with nonvanishing boundary conditions are found and especially it is shown that the dark DNLS equation can have both dark and bright soliton solutions. Some solitary wave solutions of the DNLS equation with nonvanishing boundary conditions are also derived. 相似文献
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W. P.?Zhong M.?Beli? R. H.?Xie G.?Chen Y. Q.?Lu 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2009,55(1):147-153
Bright and dark matter wave solitons are
constructed analytically in a three-dimensional (3D) highly anisotropic
Bose-Einstein condensate (BEC) with a time-dependent parabolic potential,
and numerical simulations are performed to confirm the existence and
dynamics of such analytical solutions. Different classes of bright and dark
solitons are discovered among the solutions of the generalized anisotropic
(3+1)D Gross-Pitaevskii equation. Our results demonstrate that the bright
and dark solitary waves can be manipulated and controlled by changing the
scattering length, which can be used to compress the second-order bright and
dark solitons of BECs into desired peak density. 相似文献
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We perform the Painlevé test for a coupled Higgs system to determine its Painlevé integrability. Moreover, a class of exact
complexiton-like solutions, including breather solutions and dark and bright solitary solutions, is explicitly constructed
for the coupled Higgs model by using a generalized Hirota’s bilinear form. 相似文献
20.
Some exact solutions to the inhomogeneous higher-order nonlinear Schrdinger equation by a direct method 下载免费PDF全文
By symbolic computation and a direct method, this paper
presents some exact analytical solutions of the one-dimensional
generalized inhomogeneous higher-order nonlinear Schr?dinger
equation with variable coefficients, which include bright solitons,
dark solitons, combined solitary wave solutions, dromions,
dispersion-managed solitons, etc. The abundant structure of these
solutions are shown by some interesting figures with computer
simulation. 相似文献