Schrödinger Equation with a Cubic Nonlinearity Sech-Shaped Soliton Solutions

• 作者: Pierre Hillion
• 来源期刊: 光学与光子学期刊(英文)
• 学科: 数学
• 关键词: SOLITON Schr?dinger EQUATION CUBIC NONLINEARITY
• 年，卷（期）: 2012,（3）
• 页码范围: 173-177
• 页数: 5页
• 分类号: O1

摘要

We first analyze the sech-shaped soliton solutions, either spatial or temporal of the 1D-Schr?dinger equation with a cubic nonlinearity. Afterwards, these solutions are generalized to the 2D-Schr?dinger equation in the same configuration and new soliton solutions are obtained. It is shown that working with dimensionless equations makes easy this generalization. The impact of solitons on modern technology is then stressed.