Darboux-Dressing变换上混合耦合非线性Schrödinger方程的新Rogue波

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI:10.4208/eajam.181120.310521

Min-Jie Dong

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引用次数: 3

摘要

研究了双模非线性光纤中局域波的聚焦-散焦混合耦合非线性薛定谔方程。采用Darboux修整变换构造了新的局部波解。这组解包括孤立子背景上的流氓波。此外，对于这些解决方案的主要特征，我们给出了图表，以使读者更多地了解这些解决方案。希望我们的研究结果可以用于丰富非线性波场中的流氓波现象。

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Novel Rogue Waves for a Mixed Coupled Nonlinear Schrödinger Equation on Darboux-Dressing Transformation

. Focusing-defocusing mixed coupled nonlinear Schrödinger equation of localised waves in a two-mode nonlinear ﬁber is investigated. Novel localised wave solutions are constructed by employing the Darboux-dressing transformation. The set of such solutions includes rogue waves on the soliton background. In addition, for the main characteristics of these solutions, we give the graphs to make readers more aware of the characteristics of these solutions. Hopefully our results can be used to help enrich rogue waves phenomena in nonlinear wave ﬁeld.

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来源期刊

East Asian Journal on Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.60

自引率

8.30%

发文量

期刊介绍： The East Asian Journal on Applied Mathematics (EAJAM) aims at promoting study and research in Applied Mathematics in East Asia. It is the editorial policy of EAJAM to accept refereed papers in all active areas of Applied Mathematics and related Mathematical Sciences. Novel applications of Mathematics in real situations are especially welcome. Substantial survey papers on topics of exceptional interest will also be published occasionally.