Results 21 to 30 of about 4,934 (255)

Multiple lump solutions and their interactions for an integrable nonlinear dispersionless PDE in vector fields

open access: yesNonlinear Analysis, 2023
In this article, lump solutions, lump with I-kink, lump with II- kink, periodic, multiwaves, rogue waves and several other interactions such as lump interaction with II-kink, interaction between lump, lump with I-kink and periodic, interaction between ...
Tahira Batool   +2 more
doaj   +1 more source

Variety interaction between k-lump and k-kink solutions for the generalized Burgers equation with variable coefficients by bilinear analysis

open access: yesResults in Physics, 2021
In this paper, we study the generalized Burgers equation with variable coefficients which is considered in soliton theory and generated by considering the Hirota bilinear operators. We retrieve some novel exact analytical solutions, including 2-lump-type
Ziqiang Li   +5 more
doaj   +1 more source

N-soliton, breather, M-lump and interaction dynamics for a (2 + 1)-dimensional KdV equation with variable coefficients

open access: yesResults in Physics, 2023
The main purpose of this paper is to learn N-soliton, M-lump, breather solutions and interaction solutions for a KdV equation with variable coeffificients.
Deniu Yang
doaj   +1 more source

Lump, lump-stripe, and breather wave solutions to the (2 + 1)-dimensional Sawada-Kotera equation in fluid mechanics

open access: yesHeliyon, 2021
The present study investigates the lump, one-stripe, lump-stripe, and breather wave solutions to the (2+1)-dimensional Sawada-Kotera equation using the Hirota bilinear method.
Md. Emran Ali   +4 more
doaj   +1 more source

Mixed lump–kink solutions and lump–soliton solutions to the generalized BKP equation with some second order terms

open access: yesPartial Differential Equations in Applied Mathematics, 2022
A generalized (2+1)-dimensional BKP equation with more second order nonlinear terms is studied. The different types of lump–kink solutions and lump–soliton solutions are constructed by using a combination of Hirota’s bilinear method and Maple symbolic ...
Qiao Huang, Yehui Huang, Liqin Zhang
doaj   +1 more source

Multi lump and interaction solutions for Atangana conformable Boussinesq-like equation

open access: yesResults in Physics, 2022
Atangana conformable Boussinesq-like equations (NLACBEs) plays an important role in shape-memory alloys, nonlinear string and coupled electrical circuits.
S.T.R. Rizvi   +3 more
doaj   +1 more source

Computation and observation of novel interaction based on the mixed solutions to a generalized Bogoyavlensky–Konopelchenko equation

open access: yesPartial Differential Equations in Applied Mathematics, 2022
A generalized Bogoyavlensky–Konopelchenko equation is introduced by using p-generalized bilinear differential operators. The lump solutions, one-lump-one-kink and one-lump-two-kink solutions are derived with symbolic computations.
Si-Jia Chen, Xing Lü, Yu-Hang Yin
doaj   +1 more source

Test of Siegel gauge for the lump solution [PDF]

open access: yesJournal of High Energy Physics, 2001
LaTeX file, 14 ...
Mukhopadhyay, Partha, Sen, Ashoke
openaire   +2 more sources

Multiple Lump Solutions of the (4+1)-Dimensional Fokas Equation

open access: yesAdvances in Mathematical Physics, 2020
In this paper, we investigate multiple lump wave solutions of the new (4+1)-dimensional Fokas equation by adopting a symbolic computation method. We get its 1-lump solutions, 3-lump solutions, and 6-lump solutions by using its bilinear form.
Hongcai Ma, Yunxiang Bai, Aiping Deng
doaj   +1 more source

Abundant lump-type solutions for the extended (3+1)-dimensional Jimbo–Miwa equation

open access: yesResults in Physics, 2021
In this work, we research the mixed lump–kink solutions and their dynamic properties of the extended (3+1)-dimensional Jimbo–Miwa equation. Mixed lump–kink solutions are triggered by the interaction between lump soliton and exponential function, the ...
Mei Yang, M.S. Osman, Jian-Guo Liu
doaj   +1 more source

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