Soliton dynamics and elastic collisions in a spin chain with an external time-dependent magnetic field

Zhang, Haiqiang; Tian, Bo; Lu, Xiaochun; Meng, Xiang-Hua

doi:10.1016/j.physa.2009.09.025

Cited by 7 publications

(3 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The collision behavior of two inhomogeneous solitons has been demonstrated via graphical illustration based on the physical quantities of separated inhomogeneous solitons before and after collision in Table 1 (as seen in Figs. [6][7][8][9].…”

Section: Discussionmentioning

confidence: 99%

“…Since the theoretical prediction [1,2] and experimental observation [3] showed that the optical fiber could support the solitons propagating in the anomalous and normal dispersion regime, the optical solitons have attracted much attention in the optical fiber communication systems [4][5][6][7][8][9][10]. With the balance between the group velocity dispersion (GVD) and the self-phase modulation (SPM), the optical solitons can propagate over a long distance without the amplitude attenuation and shape change in the ideal fiber [1].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Soliton-like solutions of a derivative nonlinear Schrödinger equation with variable coefficients in inhomogeneous optical fibers

Tian

Liu

et al. 2010

Nonlinear Dyn

Self Cite

View full text Add to dashboard Cite

Under investigation in this paper is a derivative nonlinear Schrödinger equation with variable coefficients, which governs the propagation of the subpicosecond soliton pulses in inhomogeneous optical fibers. Through the nonisospectral Kaup-Newell scheme, the Lax pair is constructed with some constraints on the variable coefficients. Under the integrable conditions, bright one-and multi-soliton-like solutions are derived via the Hirota method. By suitably choosing the dispersion coefficient function, several types of inhomogeneous solitons are obtained in, respectively: (1) exponentially decreasing dispersion profile, (2) linearly decreasing dispersion profile, (3) exponentially increasing dispersion profile, and (4) periodically fluctuating dispersion profile. The intensity of the inhomogeneous soliton can be controlled by means of modifying the loss/gain term. Asymptotic analysis of the two-soliton-like solution is performed, which shows that the changes of the widths, amplitudes, and energies before and after the collision are completely caused by the variable coefficients, but have nothing to do with the collision between two soliton-like envelopes. Through suitable choices of variable coefficients, figures are plotted to illustrate the collision behavior between two inhomogeneous solitons, which has some potential applications in the real optical communication systems.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Soliton-like solutions of a derivative nonlinear Schrödinger equation with variable coefficients in inhomogeneous optical fibers

Tian

Liu

et al. 2010

Nonlinear Dyn

Self Cite

View full text Add to dashboard Cite

show abstract

“…Moreover, recent results have demonstrated the interaction of two neighboring ultrashort pulses in the dispersion-managed fiber system for optical communications [47]. Recently, the dynamical behavior of Heisenberg spin chain with different interactions shows the particle-like behaviour for future applications in the fabrication of magnetic devices [48]. The inelastic soliton interactions might be useful for developing optical logic gates by soliton shape control technique [49].…”

Section: Collision Of Multi-wave Solitonsmentioning

confidence: 99%

Elastic collision of mobile solitons of a (3 + 1)-dimensional soliton equation

et al. 2016

View full text Add to dashboard Cite

The multiple exp-function method is a new approach to obtain multiple-wave solutions of nonlinear partial differential equations (NLPDEs). By this method, one can obtain multi-soliton solutions of NLPDEs. Hence, in this paper, using symbolic computation, we apply the multiple exp-function method to construct the exact multiple-wave solutions of a (3 + 1)-dimensional soliton equation. Based on this application, we obtain mobile single-wave, double-wave and multi-wave solutions for this equation. In addition, we employ the straightforward and algebraic Hirota bilinearization method to construct the multi-soliton solutions of NLPDEs, and we reveal the remarkable property of soliton-soliton collision through this approach. Further, we investigate the one-and two-soliton solutions of a (3 + 1)-dimensional soliton equation using the Hirota's method. We explore the particle-like behavior or elastic interaction of solitons, which has potential application in optical communication systems and switching devices.

show abstract

Multi-soliton and double Wronskian solutions of a (2+1)-dimensional modified Heisenberg ferromagnetic system

Meng

Gao

Sun

et al. 2014

Computers & Mathematics with Applications

View full text Add to dashboard Cite

Soliton dynamics and elastic collisions in a spin chain with an external time-dependent magnetic field

Cited by 7 publications

References 31 publications

Soliton-like solutions of a derivative nonlinear Schrödinger equation with variable coefficients in inhomogeneous optical fibers

Soliton-like solutions of a derivative nonlinear Schrödinger equation with variable coefficients in inhomogeneous optical fibers

Elastic collision of mobile solitons of a (3 + 1)-dimensional soliton equation

Multi-soliton and double Wronskian solutions of a (2+1)-dimensional modified Heisenberg ferromagnetic system

Contact Info

Product

Resources

About