2021
DOI: 10.1016/j.geomphys.2021.104322
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Resonant multi-soliton, M-breather, M-lump and hybrid solutions of a combined pKP-BKP equation

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Cited by 21 publications
(15 citation statements)
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“…Based on Expressions (18), we obtain the expressions of u 2 , u 3 and u 4 by gradually vanishing the coefficients of ψ −5 , ψ −4 and ψ −3 . Substituting the expression of u 4 into Eq.…”
Section: Painlevé Analysis For Eq (1)mentioning
confidence: 99%
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“…Based on Expressions (18), we obtain the expressions of u 2 , u 3 and u 4 by gradually vanishing the coefficients of ψ −5 , ψ −4 and ψ −3 . Substituting the expression of u 4 into Eq.…”
Section: Painlevé Analysis For Eq (1)mentioning
confidence: 99%
“…Recently, researchers have focused their attention on some KP-type equations in fluid mechanics, plasma physics and other fields [11][12][13][14]. A (2+1)-dimensional combined potential KP-B-type KP (pKP-BKP) equation has been constructed in fluid mechanics and plasma physics [15][16][17][18][19],…”
Section: Introductionmentioning
confidence: 99%
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“…A generalized (2 + 1)-D BKP equation with more second-order nonlinear terms was investigated, and divergent kinds of lumpkink outputs and lump soliton outputs were established by utilizing a combination of Hirota's bilinear scheme and Maple symbolic estimations [20]. e resonant multisoliton outputs of a combined pKP-BKP equation got by making out the linear superposition principle and 1-breather, 2breather, 3-breather, and hybrid outputs between breather and soliton solutions were reported [21] by Feng and Bilige. Li et al [22] studied the generalized Burgers equation with variable coefficients by contemplating the Hirota bilinear scheme, and they retrieve plenty of different exact analytical outputs, including 2-lump-type wave outputs, interaction between 2-lump and one kink wave outputs, and interaction between two lump and two kink wave outputs.…”
Section: Introductionmentioning
confidence: 99%
“…Soliton interactions are elastic if the shapes, amplitudes and velocities of the solitons remain invariant before and after the interactions, as in the Korteweg-de Vries (KdV) equation. [1][2][3][4][5][6][7][8][9][10][11][12] However, inelastic wave interactions may exist where fission and fusion phenomena occur, as in Burgers equation. Furthermore, the elastic and inelastic interactions of some continuous integrable equations have been studied and discussed extensively.…”
mentioning
confidence: 99%