Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 98, 2021 - Issue 6
Submit an article Journal homepage
196
Views
18
CrossRef citations to date
0
Altmetric
Original Articles

Breather, lump, shock and travelling-wave solutions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics

Shao-Hua Liua State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing, ChinaView further author information
,
Bo Tiana State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing, ChinaCorrespondence[email protected]
View further author information
,
Qi-Xing Qub School of Information, University of International Business and Economics, Beijing, ChinaView further author information
,
He Lia State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing, ChinaView further author information
,
Xue-Hui Zhaoa State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing, ChinaView further author information
,
Xia-Xia Dua State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing, ChinaView further author information
&
Su-Su Chena State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing, ChinaView further author information
 show all
Pages 1130-1145 | Received 03 Mar 2020, Accepted 28 Jul 2020, Published online: 27 Aug 2020

Citations (18)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (4)

Meng-Jun Li, Hou-Ping Dai, Xue-Dan Wei & Wei Tan. (2022) Some new soliton solutions and dynamical behaviours of (3+1)-dimensional Jimbo-Miwa equation. International Journal of Computer Mathematics 99:8, pages 1654-1668.
Read now
Dipankar Kumar, Irfan Raju, Gour Chandra Paul, Md. Emran Ali & Md. Dalim Haque. (2022) Characteristics of lump-kink and their fission-fusion interactions, rogue, and breather wave solutions for a (3+1)-dimensional generalized shallow water equation. International Journal of Computer Mathematics 99:4, pages 714-736.
Read now
Cui-Cui Ding, Yi-Tian Gao, Xin Yu, Fei-Yan Liu & Xi-Hu Wu. (2021) Three-wave resonant interactions: dark–bright–bright mixed N- and high-order solitons, breathers, and their structures. Waves in Random and Complex Media 0:0, pages 1-13.
Read now
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2021) Cosmic dusty plasmas via a (3+1)-dimensional generalized variable-coefficient Kadomtsev-Petviashvili-Burgers-type equation: auto-Bäcklund transformations, solitons and similarity reductions plus observational/experimental supports. Waves in Random and Complex Media 0:0, pages 1-21.
Read now

Articles from other publishers (14)

Peng-Fei Han, Yi Zhang & Chi-Hui Jin. (2023) Novel evolutionary behaviors of localized wave solutions and bilinear auto-Bäcklund transformations for the generalized (3+1)-dimensional Kadomtsev–Petviashvili equation. Nonlinear Dynamics 111:9, pages 8617-8636.
Crossref
Peng-Fei Han & Taogetusang Bao. (2022) Dynamical behavior of multiwave interaction solutions for the (3+1)-dimensional Kadomtsev-Petviashvili-Bogoyavlensky-Konopelchenko equation. Nonlinear Dynamics 111:5, pages 4753-4768.
Crossref
Kalim U. Tariq, A. M. Wazwaz & R. Nadir Tufail. (2022) Lump, periodic and travelling wave solutions to the (2+1)-dimensional pKP-BKP model. The European Physical Journal Plus 137:10.
Crossref
Liu-Qing Li, Yi-Tian Gao, Xin Yu, Ting-Ting Jia, Lei Hu & Cai-Yin Zhang. (2022) Bilinear forms, bilinear Bäcklund transformation, soliton and breather interactions of a damped variable-coefficient fifth-order modified Korteweg–de Vries equation for the surface waves in a strait or large channel. Chinese Journal of Physics 77, pages 915-926.
Crossref
Rami Ahmad El-Nabulsi. (2022) Emergence of lump-like solitonic waves in Heimburg–Jackson biomembranes and nerves fractal model. Journal of The Royal Society Interface 19:188.
Crossref
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2021) Symbolic computation on the long gravity water waves: scaling transformations, bilinear forms, -soliton solutions and auto-Bäcklund transformation for a variable-coefficient variant Boussinesq system . Chaos, Solitons & Fractals 152, pages 111392.
Crossref
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2021) Hetero-Bäcklund Transformation, Bilinear Forms and N Solitons for a Generalized Three-Coupled Korteweg-de Vries System. Qualitative Theory of Dynamical Systems 20:3.
Crossref
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2021) Symbolic computation on a ( )-dimensional generalized variable-coefficient Boiti–Leon–Pempinelli system for the water waves . Chaos, Solitons & Fractals 150, pages 111066.
Crossref
Xin-yi Gao, Yong-jiang Guo, Wen-rui Shan, Tian-yu Zhou, Meng Wang & Dan-yu Yang. (2021) In the Atmosphere and Oceanic Fluids: Scaling Transformations, Bilinear Forms, Bäcklund Transformations and Solitons for A Generalized Variable-Coefficient Korteweg-de Vries-Modified Korteweg-de Vries Equation. China Ocean Engineering 35:4, pages 518-530.
Crossref
Yuan Shen, Bo Tian, Xin Zhao, Wen-Rui Shan & Yan Jiang. (2021) Bilinear form, bilinear auto-Bäcklund transformation, breather and lump solutions for a (3$$+$$1)-dimensional generalised Yu–Toda–Sasa–Fukuyama equation in a two-layer liquid or a lattice. Pramana 95:3.
Crossref
Xin-Yi Gao, Yong-Jiang Guo & Wen-Rui Shan. (2021) Looking at an open sea via a generalized $$(2+1)$$-dimensional dispersive long-wave system for the shallow water: scaling transformations, hetero-Bäcklund transformations, bilinear forms and N solitons. The European Physical Journal Plus 136:8.
Crossref
Fei-Yan Liu, Yi-Tian Gao, Xin Yu, Liu-Qing Li, Cui-Cui Ding & Dong Wang. (2021) Lie group analysis and analytic solutions for a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation in fluid mechanics and plasma physics. The European Physical Journal Plus 136:6.
Crossref
Arvind Patel & Vineesh Kumar. (2021) Modulation instability analysis of a nonautonomous $$(3+1)$$-dimensional coupled nonlinear Schrödinger equation. Nonlinear Dynamics 104:4, pages 4355-4365.
Crossref
Xin Zhao, Bo Tian, He-Yuan Tian & Dan-Yu Yang. (2021) Bilinear Bäcklund transformation, Lax pair and interactions of nonlinear waves for a generalized (2 + 1)-dimensional nonlinear wave equation in nonlinear optics/fluid mechanics/plasma physics. Nonlinear Dynamics 103:2, pages 1785-1794.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.