Wronskian Representation of Solutions of NLS Equation, and Seventh Order Rogue Wave

• 作者: Pierre Gaillard
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Riemann Theta Functions FREDHOLM DETERMINANT WRONSKIAN NLS Equation Peregrine BREATHERS Akhmediev SOLUTIONS
• 年，卷（期）: 2013,（2）
• 页码范围: 246-266
• 页数: 21页
• 分类号: O1

摘要

In this paper, we use the representation of the solutions of the focusing nonlinear Schrodinger equation we have constructed recently, in terms of wronskians;when we perform a special passage to the limit, we get quasi-rational solutions expressed as a ratio of two determinants. We have already construct breathers of orders N = 4, 5, 6 in preceding works;we give here the breather of order seven.