Results 1 to 10 of about 5,055 (256)

Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation [PDF]

Open Physics, 2021
The aim of this article was to address the lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation with the aid of Hirota bilinear technique. This model concerns in a massive nematic liquid crystal director field.
Seadawy Aly R., Rizvi Syed Tahir Raza, Ahmad Sarfraz, Younis Muhammad, Baleanu Dumitru   +4 more
doaj   +3 more sources

M-lump, N-soliton solutions, and the collision phenomena for the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa equation

Results in Physics, 2020
In this work, N-soliton waves, fusion solutions, mutiple M-lump solutions and the collision phenomena between one-M-lump and one-, two-soliton solutions to the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa equation are successfully revealed.
Hajar F. Ismael, Hasan Bulut, Choonkil Park, M.S. Osman   +3 more
doaj   +3 more sources

Lump-Type Solutions, Lump Solutions, and Mixed Rogue Waves for Coupled Nonlinear Generalized Zakharov Equations

Mathematics, 2023
This article studies diverse forms of lump-type solutions for coupled nonlinear generalized Zakharov equations (CNL-GZEs) in plasma physics through an appropriate transformation approach and bilinear equations.
Aly R. Seadawy, Syed T. R. Rizvi, Hanadi Zahed   +2 more
doaj   +2 more sources

Construction of lump soliton and mixed lump stripe solutions of (3+1)-dimensional soliton equation

Results in Physics, 2018
In this letter, we apply two different ansatzs for constructing the lump soliton and mixed lump strip solutions of (3+1)-dimensional soliton equation, which is associating with the Hirota bilinear form.
Jiangen Liu, Yufeng Zhang
doaj   +3 more sources

Lump and Interaction solutions of a geophysical Korteweg–de Vries equation

Results in Physics, 2020
This manuscript retrieve lump soliton solution for geophysical Korteweg–de Vries equation (GKdVE) with the help of Hirota bilinear method (HBM). We will also obtain lump–kink soliton (which is interaction of lump with one kink soliton), lump-periodic ...
S.T.R. Rizvi, Aly R. Seadawy, F. Ashraf, M. Younis, H. Iqbal, Dumitru Baleanu   +5 more
doaj   +3 more sources

Multiple soliton, M-lump and interaction solutions to the (3+1)-dimensional soliton equation

Results in Physics, 2023
One of the most effective ways to understand nonlinear quantum systems is with lump solutions. The objective of this study is to acquire more about the (3+1)-dimensional soliton equation.
Hajar F. Ismael, Tukur Abdulkadir Sulaiman, Harivan R. Nabi, Nehad Ali Shah, Thongchai Botmart   +4 more
doaj   +3 more sources

Lump, lump-periodic, lump-soliton and multi soliton solutions for the potential Kadomtsev-Petviashvili type coupled system with variable coefficients [PDF]

Scientific Reports
In this article, the potential Kadomtsev-Petviashvili (pKP) type coupled system with variable coefficients is studied, which have many applications in wave phenomena and soliton interactions in a two-dimensional space with time. In this framework, Hirota
Haiwei Chen, Jalil Manafian, Baharak Eslami, María José Mendoza Salazar , Neha Kumari, Rohit Sharma, Sanjeev Kumar Joshi, K. H. Mahmoud, A. SA. Alsubaie   +8 more
doaj   +2 more sources

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

Nonlinear 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, Aly R. Seadawy, Syed T.R. Rizvi   +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

Results 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, Jalil Manafian, Natig Ibrahimov, Afandiyeva Hajar, Kottakkaran Sooppy Nisar, Wasim Jamshed   +5 more
doaj   +1 more source

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

Results 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