|
|
Abundant invariant solutions of extended (3+1)-dimensional KP-Boussinesq equation |
Hengchun Hu(胡恒春)† and Jiali Kang(康佳丽) |
College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
|
|
Abstract Lie group analysis method is applied to the extended (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq equation and the corresponding similarity reduction equations are obtained with various infinitesimal generators. By selecting suitable arbitrary functions in the similarity reduction solutions, we obtain abundant invariant solutions, including the trigonometric solution, the kink-lump interaction solution, the interaction solution between lump wave and triangular periodic wave, the two-kink solution, the lump solution, the interaction between a lump and two-kink and the periodic lump solution in different planes. These exact solutions are also given graphically to show the detailed structures of this high dimensional integrable system.
|
Received: 18 August 2024
Revised: 24 September 2024
Accepted manuscript online: 26 September 2024
|
PACS:
|
02.30.Ik
|
(Integrable systems)
|
|
05.45.Yv
|
(Solitons)
|
|
02.30.Jr
|
(Partial differential equations)
|
|
Corresponding Authors:
Hengchun Hu
E-mail: hhengchun@163.com
|
Cite this article:
Hengchun Hu(胡恒春) and Jiali Kang(康佳丽) Abundant invariant solutions of extended (3+1)-dimensional KP-Boussinesq equation 2024 Chin. Phys. B 33 110206
|
[1] Kadomtsev B B and Petviashvili V I 1970 Sov. Phys. Dokl. 15 539 [2] Wazwaz A M 2012 Commun. Nonlinear Sci. Numer. Simulat. 17 491 [3] Ma W X and Zhu Z N 2012 Appl. Math. Comput. 218 11871 [4] Hu H C and Sun R L 2022 Mod. Phys. Lett. B 36 2150587 [5] Hu H C and Li Y Q 2023 Chin. Phys. B 32 040503 [6] Khalique C M and Moleleki L D 2019 Results Phys. 13 102239 [7] Liu Q F and Li C Z 2017 J. Math. Phys. 58 113505 [8] Li C Z 2018 J. Math. Phys. 59 123503 [9] Wazwaz A M and El-Tantawy S A 2017 Nonlinear Dyn. 88 3017 [10] Sun B N and Wazwaz A M 2018 Commun. Nonlinear Sci. Numer. Simulat. 64 1 [11] Liu N and Liu Y 2019 Mod. Phys. Lett. B 33 1950395 [12] Moleleki L D, Simbanefayi I and Khalique C M 2020 Chin. J. Phys. 68 940 [13] Shao C H, Yang L, Yan Y S, Wu J Y, Zhu M T and Li L F 2023 Sci. Rep. 13 15826 |
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|