• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Optical and quantum electronics >Investigation of dynamics of nematicons in liquid crystals by extended sinh-Gordon equation expansion method
【24h】

Investigation of dynamics of nematicons in liquid crystals by extended sinh-Gordon equation expansion method

机译：扩展Sinh-Gordon方程展开法研究液晶中向列元动力学

获取原文
获取原文并翻译 | 示例
       
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

This paper secures new nematicons in liquid crystals from its governing equation by extended sinh-Gordon equation expansion method with the aid of symbolic computational package Maple. The two laws of nonlinearity, namely Kerr and parabolic laws are studied. As outcomes, some new explicit complex hyperbolic and complex trigonometric function solutions are derived regarding dark, bright, combined dark-bright, singular, combined singular optical, periodic wave, dipole soliton solutions and others. To show the real physical meaning of the derived results, three dimensional graphs with contours and two dimensional graphs are prepared under the choice of proper values of the arbitrary parameters. The derived solutions have been checked back into their corresponding equations with the symbolic computational package Maple. All the combined solutions are found to be new, which may play an important role in the context of liquid crystals. The applied method is found to provide a powerful tool for extracting exact solitary wave solutions and overcome the difficulties of the solitary wave ansatz method.
机译：本文借助符号计算包Maple，通过扩展的sinh-Gordon方程展开法，从其控制方程中确保了液晶中的新向列元。研究了非线性的两个定律，即克尔定律和抛物线定律。结果，得出了一些关于暗，亮，组合暗-亮，奇异，组合奇异光学，周期波，偶极子孤子解等的新的显式复双曲和复三角函数解。为了显示得出的结果的真实物理含义，在选择任意参数的适当值的情况下，准备了带有轮廓的三维图和二维图。已使用符号计算包Maple将派生的解决方案重新签入其相应的方程式中。发现所有合并的解决方案都是新的，这可能在液晶方面起重要作用。发现所应用的方法为提取精确的孤立波解提供了强大的工具，并克服了孤立波ansatz方法的困难。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号