Periodic wave, breather wave and travelling wave solutions of a (2 + 1)-dimensional B-type Kadomtsev-Petviashvili equation in fluids or plasmas

Hu, Wen‐Qiang; Gao, Yi–Tian; Jia, Shu-Liang; Huang, Qian-Min; Lan, Zhong-Zhou

doi:10.1140/epjp/i2016-16390-1

Cited by 37 publications

(5 citation statements)

References 33 publications

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“…Here u is the wave amplitude function of the dimensioned space coordinate x and time component t and the subscripts represent the appropriate derivatives, is being used to model wave movement as well as stratified internal waves in fluids, as well as the ion-acoustic wave in plasma. A twodimensional equation is the Kadomtsev-Petviashvili (KP) equation [8,9], often called as the twodimensional KdV equation.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of dynamics of fusion solitons of the generelized (3+1)-Kadomtsev–Petviashvili equation

Isah

Yokuş

2022

Preprint

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The aim of this paper is to introduce a generalized (3+1)-Kadomtsev-Petviashvili equation which is used to describe waves in a ferromagnetic medium. The equation's bilinear form is created and an ansatz as the combination of the exponential and hyperbolic sine function based on the Hirota bilinear form is used to find numerous novel precise solutions. These accurate solutions, which are depicted in the contour, two-dimensional and three-dimensional graphs, show the evolution of periodic characteristics. The modulation instability is used to investigate the the stability of the obtained solutions. Additionally, the development of the fusion soliton is be examined, as well as the fusion phenomenon in the traveling wave solution described in the physical discussion. For this evolution equation, the study indicates new mechanical structures and various characteristics. The derived results back up the model that was proposed. These discoveries open up a new avenue for us to investigate the concept further.

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Section: Introductionmentioning

confidence: 99%

“…is often used to describe longitudinal waves in a single layer shallow fluid having small amplitude and gradual dependency on the transverse coordinate and also surface and interior waves in a strait or channel of varying depth and width [8,10]. α = +1 is used when surface tension is smaller than gravitational forces.…”

Section: Introductionmentioning

confidence: 99%

Analysis of dynamics of fusion solitons of the generelized (3+1)-Kadomtsev–Petviashvili equation

Isah

Yokuş

2022

Preprint

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“…The BKP equation, as a subclass of the KP hierarchy, can be used to describe weakly dispersive waves propagating in the quasi media and fluid mechanics. Multiple soliton solutions, rational solutions, periodic solutions and rouge wave solutions were investigated [41][42][43].…”

Section: Introductionmentioning

confidence: 99%

Soliton molecules and some novel interaction solutions to the (2+1)-dimensional B-type Kadomtsev–Petviashvili equation

Yang¹,

Fan²,

Li³

2020

Phys. Scr.

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Soliton molecules may exists in both experimental and theotetical aspects. In this work, we investigate the (2+1)-dimensional B-type Kadomtsev–Petviashvili equation, which can be used to describe weakly dispersive waves propagating in the quasi media and fluid mechanics. Soliton molecules are generated by N-soliton solution and a new velocity resonance condition. Furthermore, soliton molecules can become to asymmetric solitons when the distance between two solitons of the molecule is small enough. Based on the N-soliton solution, we obtain some novel interaction solutions which component of soliton molecules, breather waves and lump waves by deal with part of parameters by applying velocity resonance, module resonance and long wave limit method, and the interactions are elastic. Finally, some graphic analysis are discussed to understand the propagation phenomena of these solutions.

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“…The B-type Kadomtsev-Petviashvili (KP) equations are considered as non-linear models in the fluids or the plasmas which have been investigated using different methods [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. In this paper, a B-type KP equation with certain applications in the fluids is studied such that its mathematical model can be expressed [36,37]:…”

Section: Introductionmentioning

confidence: 99%

N-wave and other solutions to the B-type Kadomtsev-Petviashvili equation

et al. 2019

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The present article studies a B-type Kadomtsev-Petviashvili equation with certain applications in the fluids. Stating with the Hirota's bilinear form and adopting reliable methodologies, a group of exact solutions such as the N-wave and other solutions to the B-type Kadomtsev-Petviashvili equation is formally derived. Some figures in two and three dimensions are given to illustrate the characteristics of the obtained solutions. The results of the current work actually help to complete the previous studies about the B-type Kadomtsev-Petviashvili equation.

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Periodic wave, breather wave and travelling wave solutions of a (2 + 1)-dimensional B-type Kadomtsev-Petviashvili equation in fluids or plasmas

Cited by 37 publications

References 33 publications

Analysis of dynamics of fusion solitons of the generelized (3+1)-Kadomtsev–Petviashvili equation

Analysis of dynamics of fusion solitons of the generelized (3+1)-Kadomtsev–Petviashvili equation

Soliton molecules and some novel interaction solutions to the (2+1)-dimensional B-type Kadomtsev–Petviashvili equation

N-wave and other solutions to the B-type Kadomtsev-Petviashvili equation

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