Dynamical behavior of lump, breather and soliton solutions of time-fractional (3+1)D-YTSF equation with variable coefficients

Gupta, Rajesh Kumar; Kumar, Manish

doi:10.1007/s11071-024-09531-w

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2024

2025

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“…Some researchers have successfully constructed soliton solutions [16][17][18], lump solutions [19,20], interactional solutions [21][22][23][24][25], and other exact solutions [26] in different nonlinear systems. In [27], Ma first proposed a quadratic function method to construct lump solutions of a few generalized KP and BKP equations, and this kind of lump solutions can be localized in the whole plane.…”

Section: Introductionmentioning

confidence: 99%

Solitons, lump and interactional solutions of the (3+1)-dimensional BLMP equation in incompressible fluid

He,

Han,

et al. 2024

Phys. Scr.

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Based on the Hirota bilinear method, we systematically investigate the (3+1)-dimensional Boiti-Leon-Manana-Pempinelli (BLMP) equation in incompressible fluids and main results include: (1) the formulas of N-kink-soliton solutions and the bound states of multi solitons are all presented, (2) the lump solution is derived by the positive quadratic function method, (3) the interactional solutions are given, i.e., one lump interacts with one- and two-kink-soliton, (4) some special periodic solutions are discussed, i.e., lump-periodic solutions and homoclinic breather solutions.

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