Multi-Component Coupled Fokas-Lenells Equations and Theirs Localized Wave Solutions

Zhao, Qiulan; Song, Huijie; Li, Xinyue

doi:10.1007/s10440-022-00535-5

Cited by 3 publications

(1 citation statement)

References 21 publications

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“…The generalization of FL equation has also been researched, such as multi-component [13], nonlocal [14] as well as (2+1)-dimensional FL equations [15][16][17]. Recently, we proposed the following (2+1)-dimensional FL equation with parameters iq xt − iαq xx − iq xy + 2γq x − 4βq x qq * + 4iβq = 0, (1.1) and investigated the conservation law, modulation instability and higher-order rogue wave solutions [15].…”

Section: Introductionmentioning

confidence: 99%

Mixed localized wave solutions of the (2+1)-dimensional Fokas-Lenells equation

Song

Zhao

2022

Preprint

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In this paper, we investigate the mixed localized wave solutions of the (2+1)-dimensional Fokas-Lenells equation. These localized wave solutions contain solitons, degenerate solitons, lumps and lump chains. Our focus is the mixed solutions including solitons and degenerate solitons, lumps and lump chains. The effective method we use to obtain the above solutions is generalized (n, M)-fold Darboux transformation. The characteristics and properties of these solutions are discussed analytically and graphically. Actually, these solutions can change the strength of the interactions by adjusting parameters, and preserve their own properties throughout the interaction process.

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