Multiple-high-order pole solutions for the NLS equation with quartic terms

作者：Wen, Li-Li; Fan, En-Gui; Chen, Yong^*

来源：Applied Mathematics Letters, 2022, 130: 108008.

DOI：10.1016/j.aml.2022.108008

• The focusing QNLS
• NVBC
• RH method
• Multiple-high-order poles soliton solution

The aim of this article is to investigate the multiple-high-order pole solutions to the focusing NLS equation with quartic terms (QNLS) under the non-vanishing boundary conditions (NVBC) via the Riemann-Hilbert(RH) method. The determinant formula of multiple-high-order pole soliton solutions for NVBC is given. Further the double 1nd-order, mixed 2nd- and 1nd-order pole solutions are obtained.

• 单位
  y; 复旦大学