共查询到20条相似文献,搜索用时 27 毫秒
1.
Hong-Xiang Yang 《Physics letters. A》2009,373(7):741-748
Starting from a new discrete iso-spectral problem, we derive a hierarchy of Hamiltonian lattice equations. A Darboux transformation is established for the lattice soliton hierarchy. As applications, the soliton solutions of resulted lattice hierarchy are given. 相似文献
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A hierarchy of nonlinear lattice soliton equations is derived from a new discrete spectral problem. The Hamiltonian structure of the resulting hierarchy is constructed by using a trace identity formula. Moreover, a Darboux transformation is established with the help of gauge transformations of Lax pairs for the typical lattice soliton equations. The exact solutions are given by applying the Darboux transformation. 相似文献
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With the existence of thermal vibration effect taking in to account, interactions of hopping electrons with lattice acoustic phonon and soliton excitation in inharmonic linear chains are discussed. A new nonlinear equation of probability amplitude for electron motion is obtained. The new results of soliton solution in the form of hyperelliptic integral are obtained as well. It is proved that there exists soliton excitation of kink type in addition to that of bell type found in general. 相似文献
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WANG Deng-Long YANG Ru-Shu YANG You-Tian 《理论物理通讯》2007,48(5):917-920
Based on multiple scales method, we study the nonlinear properties of a new Fermi-Pasta-Ulam lattice model analytically. It is found that the lattice chain exhibits a novel nonlinear elementary excitation, i.e. a dark soliton. Moreover, the modulation depth of dark soliton is increasing as the anharmonic parameter increases. 相似文献
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《Physics letters. A》1998,244(5):418-426
We show by using the real exponential approach that the d-dimensional discrete nonlinear Schrödinger equation has more general dispersionless envelope lattice soliton solutions than the known bright soliton and kink solutions. Depending on the values of the parameters, the new solutions can describe both bright and dark lattice solitons. Especially, we find novel “W”-like envelope lattice solitons. 相似文献
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We introduce multipole soliton complexes in optical lattices induced by nondiffracting parabolic beams. Despite the symmetry breaking dictated by the curvature of the lattice channels, we find that complex, asymmetric higher-order states can be stable. The unique topology of parabolic lattices affords new types of soliton motion: single solitons launched into the lattice with nonzero transverse momentum perform periodic oscillations along parabolic paths. 相似文献
8.
Soliton modes, stability, and drift in optical lattices with spatially modulated nonlinearity 总被引:1,自引:0,他引:1
We put forward new properties of lattice solitons in materials and geometries where both the linear refractive index and the nonlinearity are spatially modulated. We show that the interplay between linear and out-of-phase nonlinear refractive index modulations results in new soliton properties, including modifications of the soliton stability and transverse mobility, as well as shape transformations that may be controlled, e.g., by varying the light intensity. 相似文献
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LUO Lin FAN En-Gui 《理论物理通讯》2008,49(6):1399-1402
Starting from a new discrete spectral problem, the corresponding hierarchy of nonlinear lattice equations is proposed. It is shown that the lattice soliton hierarchy possesses the bi-Hamiltonian structures and infinitely many common commuting conserved functions. Further, infinite conservation laws of the hierarchy are presented. 相似文献
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XIE Fu-Ding 《理论物理通讯》2005,44(8)
Some soliton solutions and periodic solutions of hybrid lattice, discretized mKdV lattice, and modified Volterra lattice have been obtained by introducing a new method. This approach allows us to directly construct some explicit exact solutions for polynomial nonlinear differential-difference equations. 相似文献
12.
XIE Fu-Ding 《理论物理通讯》2005,44(2):293-296
Some soliton solutions and periodic solutions of hybrid lattice, discretized mKdV lattice, and modified Volterra lattice have been obtained by introducing a new method. This approach allows us to directly construct some explicit exact solutions for polynomial nonlinear differential-difference equations. 相似文献
13.
We address the existence of surface solitons at an interface in a defocusing cubic medium with an imprinted one-dimensional (1D) composite Bessel optical lattice. This setting is composed of two Bessel lattices with different orders and different modulation depths, separated beside both sides of an interface. Stability analysis and numerical propagation simulations prove that solitons supported by the model are dynamically stable in the entire domain of their existence. The order of lattice determines the shape of soliton, and the amplitude of soliton depends on the lattice modulation depth. The experimental realization of the scheme is also proposed. Our results may provide another effective way of controlling the shapes of surface solitons and thus their evolutions by introducing a new freedom degree. 相似文献
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We study the dynamics of bright solitons formed in a Bose-Einstein condensate with attractive atomic interactions perturbed by a weak bichromatic optical lattice potential. The lattice depth is a biperiodic function of time with a zero mean, which realizes a flashing ratchet for matter-wave solitons. We find that the average velocity of a soliton and the soliton current induced by the ratchet depend on the number of atoms in the soliton. As a consequence, soliton transport can be induced through scattering of different solitons. In the regime when matter-wave solitons are narrow compared to the lattice period the dynamics is well described by the effective Hamiltonian theory. 相似文献
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We report on the existence of multicolor solitons supported by periodic lattices made from quadratic nonlinear media. Such lattice solitons bridge the gap between continuous solitons in uniform media and discrete solitons in strongly localized systems and exhibit a wealth of new features. We discovered that, in contrast to uniform media, multipeaked lattice solitons are stable. Thus they open new opportunities for all-optical switching based on soliton packets. 相似文献
18.
Soliton dynamics is studied in a compressed ferromagnetic chain having anisotropy of the “easy plane” type. It is shown that there exists a soliton wave of lattice deformation which follows the magnetic soliton. Two models are considered for the connection between deformation and spins. The soliton renormalization constant is found. The effect of lattice anharmonicity is studied. 相似文献
19.
In this paper, we address a new type of spatially varying lattice that gradually increases along the direction of the propagation, our studies show that this kind of lattice can lead to controllable trapping of light in the different locations of the array, the stability of solitons enhances and soliton can be compressed synchronously. One can believe that these properties is of great importance for us to enhance the stability of optical system and to achieve more effective control of soliton. 相似文献
20.
As a new subject, soliton theory is shown to be an effective tool for describing and explaining nonlinear phenomena in nonlinear optics, super conductivity, plasma physics, magnetic fluid, etc. Thus, the study of soliton equations has always been one of the most prominent events in the field of nonlinear science during the past few years. Moreover, it is important to seek the lattice soliton equation and study its properties. In this study, firstly, we derive a discrete integrable system by using the Tu model. Then, some properties of the obtained equation hierarchies are discussed. 相似文献