Higher-order rogue wave solutions of the (2+1)-dimensional Fokas–Lenells equation

Zhao, Qiulan; Song, Huijie; Li, Xinyue

doi:10.1016/j.wavemoti.2022.103065

Cited by 4 publications

(2 citation statements)

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“…(1.1) becomes the equation discussed in Ref. [16] whose bilinear form was constructed through the Hirota's bilinear method, and then the exact one-soliton and two-soliton solutions were obtained [17]. In this paper, we will go deeply into the mixed localized wave solutions of Eq.…”

Section: Introductionmentioning

confidence: 98%

“…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%

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

Song

Zhao

2022

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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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Section: Introductionmentioning

confidence: 98%