Results 1 to 10 of about 4,681 (141)

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   +4 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

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

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

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

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   +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

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