Analytic study on a ()-dimensional nonlinear Schrödinger equation in the Heisenberg ferromagnetism
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- 作者：De-Yin Liu ; Bo Tian ; tian_bupt@163.com" class="auth_mail" title="E-mail the corresponding author ; Yan Jiang ; Xi-Yang Xie ; Xiao-Yu Wu
- 关键词：Nonlinear Schrö ; dinger equation ; Heisenberg ferromagnetic spin chain ; Multi-soliton solutions ; Soliton interaction
- 刊名：Computers & Mathematics with Applications
- 出版年：2016
- 出版时间：May 2016
- 年：2016
- 卷：71
- 期：10
- 页码：2001-2007
- 全文大小：1222 K
文摘
In this paper, a (2+1)-dimensional nonlinear Schrödinger equation for a (2+1)-dimensional Heisenberg ferromagnetic spin chain with the bilinear and anisotropic interactions is investigated. Via the Hirota method and symbolic computation, bilinear forms and multi-soliton solutions are derived. The one, two and three solitons are analyzed graphically and we find the amplitudes and widths of the two and three solitons keep invariant after each interaction. The bell-shape one soliton as well as parallel, crossed two and three solitons are respectively observed. Through the asymptotic analysis, expressions which denote the two solitons before and after the interactions are obtained and interactions between the two solitons are proved to be elastic.