Dark solitons behaviors for a (2+1)-dimensional coupled nonlinear Schrödinger system in an optical fiber. (English) Zbl 1392.35071
Summary: In this paper, we investigate a (2+1)-dimensional coupled nonlinear Schrödinger system, which describes the transverse effects in an optical fiber, time-independent copropagation and field of optical soliton. Bilinear forms, dark one- and two-soliton solutions are derived by virtue of the Hirota method. Propagation and interaction properties of the dark solitons are discussed: (i) Amplitudes and velocities of the dark solitons are affected by the values of the wave numbers \(\mu\), \(\lambda\) and \(\theta\). (ii) Head-on and overtaking interactions between the two parallel dark solitons are discussed, where the amplitudes of the dark solitons remain unchanged after each interaction, implying that the interactions are elastic. (iii) Stationary dark solitons are depicted in this paper. (iv) Through the asymptotic analysis, elastic interaction between the two solitons is discussed analytically.
MSC:
| 35C08 | Soliton solutions |
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 78A60 | Lasers, masers, optical bistability, nonlinear optics |
Keywords:
optical fiber; (2+1)-dimensional coupled nonlinear Schrödinger system; Hirota method; bilinear forms; dark solitonsReferences:
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