Results 11 to 20 of about 5,055 (256)

Lump solution and lump-type solution to a class of water wave equation

Results in Physics, 2023
In the field of nonlinear sciences, the theory of solitons has long been regarded as one of the most significant and effective areas of research. In this research field, there are many efficient techniques for solving partial differential equations.
S. Liu, Z. Yang, A. Althobaiti, Y. Wang
doaj   +2 more sources

Soliton and lump-soliton solutions in the Grammian form for the Bogoyavlenskii–Kadomtsev–Petviashvili equation

Advances in Difference Equations, 2020
This paper investigates the Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation by using Hirota’s direct method and the Kadomtsev–Petviashvili (KP) hierarchy reduction method.
Wenjuan Rui, Yufeng Zhang
doaj   +7 more sources

A New Nonlinear Equation with Lump-Soliton, Lump-Periodic, and Lump-Periodic-Soliton Solutions

Complexity, 2019
An extended (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff-like equation is proposed by using the generalized bilinear operators based on a prime number p=3.
Bo Ren, Ji Lin, Zhi-Mei Lou
doaj   +2 more sources

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

Heliyon, 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, Farjana Bilkis, Gour Chandra Paul, Dipankar Kumar, Hasibun Naher   +4 more
doaj   +1 more source

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

Partial 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

Results 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, Aly R. Seadawy, S.K. Naqvi, Saeed Althubiti   +3 more
doaj   +1 more source

Test of Siegel gauge for the lump solution [PDF]

Journal 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

Advances 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

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

Partial 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

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

Results 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