Comment on “Bilinear Bäcklund transformation, soliton and periodic wave solutions for a (3+1)-dimensional variable-coefficient generalized shallow water wave equation” (Nonlinear Dyn. 87, 2529, 2017)

Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui

doi:10.1007/s11071-021-06673-z

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Cited by 5 publications

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“…Bilinear auto-Bäcklund transformations and analytic solutions for System (1) On account of Bilinear Form (3), motivated by [30,31], using the Hirota method, thinking that g represents another solution of Bilinear Form (3) and considering the expression we find…”

Section: Introductionmentioning

confidence: 99%

Comment on ‘Study of lump solutions to an extended Calogero-Bogoyavlenskii-Schiff equation involving three fourth-order terms’ (2020 Phys. Scr. 95 095207)

Gao¹,

Guo²,

Shan³

2021

Phys. Scr.

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Of current interest, in nonlinear optics, fluid dynamics and plasma physics, the paper commented (i.e., Phys. Scr. 95, 095207, 2020) has investigated a (2+1)-dimensional extended Calogero-Bogoyavlenskii-Schiff system. Hereby, we make the issue raised in that paper more complete. Using the Hirota method and symbolic computation, we construct three sets of the bilinear auto-Bäcklund transformations for that system, along with some analytic solutions. As for the amplitude of the relevant wave in nonlinear optics, fluid dynamics or plasma physics, our results depend on the coefficients in that system.

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Section: Introductionmentioning

confidence: 99%