Dynamics of mixed lump-soliton solutions to the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli like equation

Shi, Kai-Zhong; Ren, Bo

doi:10.1016/j.padiff.2022.100276

Cited by 3 publications

(2 citation statements)

References 27 publications

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“…The exact multiwave solutions to BLMP equation are constructed by multiple exp-function method [39]. The mixed lump-soliton solutions to BLMP equation are obtained by the Generalized bilinear method [40]. Some interation solutions to eBLMP equation are obtained by the Hirota bilinear method [41].…”

Section: Introductionmentioning

confidence: 99%

Lump solution and interaction solutions to the fourth-order extended (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation

Chen,

Wang,

Tian

2023

Commun. Theor. Phys.

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In this paper, we explore the exact solutions to the fourth-order extended (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation. Based on Hirota bilinear method, lump solution, periodic cross-kink solutions and bright-dark soliton solutions were investigated. By calculating and solving, the peak and trough of lump solution are obtained, and the maximum and minimum points of each are solved. The three-dimensional plots and density plots of periodic cross-kink solution and bright-dark soliton solution are drawn and the dynamics of solutions under different parameters are observed.

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Section: Introductionmentioning

confidence: 99%

Lump solution and interaction solutions to the fourth-order extended (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation

Chen,

Wang,

Tian

2023

Commun. Theor. Phys.

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“…Using Hirota bilinear method, a new bilinear differential operator was proposed by Ma [6], and the equation under this operator is called the like equation. Up to now, many like equations have been calculated such as the BLMP like equation [7], JM like equation [8], Boussinesq like equation [9], and so on. The Hietarinta equation is a (1+1) dimensional integrable system, and four different soliton solutions are obtained by Painlevé analysis.…”

Section: Introductionmentioning

confidence: 99%

Lump Solution to the (2+1)-Dimensional Hietarina Like Equation

Jiang

2022

J. Phys.: Conf. Ser.

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High-order rational-type solutions of the analogous (3+1)-dimensional Hirota-bilinear-like equation

Li,

Jiao,

Liu

et al. 2023

MBE

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<abstract><p>In this article, a new dynamical system equation named the (3+1)-dimensional Hirota-bilinear-like equation (HBLE) was constructed. The generalized Hirota bilinear method was applied to obtain this new HBLE in (3+1) dimensions. This new HBLE possesses a similar bilinear form to the original (3+1)-dimensional Hirota bilinear equation, but with additional nonlinear terms. A set of high-order rational solutions is constructed for the given equation, generated from polynomial solutions to the associated generalized bilinear equation. The analyticity conditions of the resulting solutions were investigated and six groups of general solutions were derived. In addition, the shape and surface of the high-order rational function solutions and their dynamic behaviors were studied by utilizing Maple.</p></abstract>

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Dynamics of mixed lump-soliton solutions to the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli like equation

Cited by 3 publications

References 27 publications

Lump solution and interaction solutions to the fourth-order extended (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation

Lump solution and interaction solutions to the fourth-order extended (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation

Lump Solution to the (2+1)-Dimensional Hietarina Like Equation

High-order rational-type solutions of the analogous (3+1)-dimensional Hirota-bilinear-like equation

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