Multiple-high-order pole solutions for the NLS equation with quartic terms
Li-Li Wen, En-Gui Fan, Yong Chen
TL;DR
This paper derives explicit multiple-high-order pole solutions for the focusing nonlinear Schrödinger equation with quartic terms under non-vanishing boundary conditions using the Riemann-Hilbert method.
Contribution
It provides the determinant formula for these solutions and constructs specific double and mixed pole solutions, advancing the understanding of complex soliton structures.
Findings
Explicit formulas for multiple-high-order pole solutions
Construction of double and mixed pole solutions
Application of Riemann-Hilbert method to QNLS
Abstract
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.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Fractional Differential Equations Solutions