Lattice solitons in nonlinear Schrödinger equation with coupling-to-a-mean-term
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- 作者：Mahmut Bağcı ; İlkay Bakırtaş<sup> ; sup><sup>ilkayb@itu.edu.tr" class="auth_mail" title="E-mail the corresponding authorsup> ; Nalan Antar
- 关键词：Nonlinear lattice soliton ; NLSM equation ; Wave collapse ; Periodic lattice
- 刊名：Optics Communications
- 出版年：2017
- 出版时间：15 January 2017
- 年：2017
- 卷：383
- 期：Complete
- 页码：330-340
- 全文大小：2359 K
文摘
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The existence and stability properties of solitons of the nonlinear Schrödinger equation with coupling-to-a-mean-term (NLSM) equation with an external periodic potential are investigated.
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Solutions to NLSM are obtained numerically by using spectral renormalization method.
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The linear and nonlinear stability properties of the numerically obtained solitons are investigated.
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The fundamental solitons are found to be nonlinearly unstable in the lattice-free medium due to collapse.
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Collapse is suppressed by adding a periodic lattice to NLSM system.