Results 41 to 50 of about 5,895,681 (193)

Vector Shock Soliton and the Hirota Bilinear Method

, 2005
The Hirota bilinear method is applied to find an exact shock soliton solution of the system reaction-diffusion equations for n-component vector order parameter, with the reaction part in form of the third order polynomial, determined by three distinct ...
Pashaev, Oktay, Tanoğlu, Gamze
core   +2 more sources

Solitone solutions complexifications of the Korteweg - de Vriz equation

Наука. Инновации. Технологии, 2022
The Hirota method for construction of soliton solutions is applied to the complexification of the Korteweg-de Vries equation. To use the method, the complex equation is replaced by a system of two third-order equations into two real functions, which ...
Tatyana Valentinovna Redkina
doaj  

Novel physical nonlinear structures in Saturn’s magnetosphere: Ion-acoustic solitons, lumps, and horseshoe-like nonlinear waves [PDF]

AIP Advances
In this paper, new analytical physical solutions to the Kadomtsev–Petviashvili–Bergers’ (KPB) equation in the multicomponent plasmas of Saturn are reported.
Weaam Alhejaili, Omer A. O. Gassim, Reda E. Tolba   +2 more
doaj   +1 more source

Lump-Type and Bell-Shaped Soliton Solutions of the Time-Dependent Coefficient Kadomtsev-Petviashvili Equation

Frontiers in Physics, 2020
In this article, the lump-type solutions of the new integrable time-dependent coefficient (2+1)-dimensional Kadomtsev-Petviashvili equation are investigated by applying the Hirota bilinear technique and a suitable ansatz.
Aliyu Isa Aliyu, Yongjin Li, Liu Qi, Mustafa Inc, Dumitru Baleanu, Dumitru Baleanu, Ali S. Alshomrani   +6 more
doaj   +1 more source

A Mathematical Study of the (3+1)-D Variable Coefficients Generalized Shallow Water Wave Equation with Its Application in the Interaction between the Lump and Soliton Solutions

Mathematics, 2022
In this paper, the Hirota bilinear method, which is an important scheme, is used. The equation of the shallow water wave in oceanography and atmospheric science is extended to (3+1) dimensions, which is a well-known equation. A lot of classes of rational
Ruijuan Li, Onur Alp İlhan, Jalil Manafian, Khaled H. Mahmoud, Mostafa Abotaleb, Ammar Kadi   +5 more
doaj   +1 more source

The symmetry breaking solutions of the nonlocal Alice–Bob B-type Kadomtsev–Petviashvili system

Results in Physics, 2023
The (2+1)-dimensional B-type Kadomtsev–Petviashvili equation is an integrable model, which can be used to describe the shallow water wave in a fluid. In this paper, the nonlocal Alice–Bob B-type Kadomtsev–Petviashvili system is induced via the principle ...
Peng Dong, Zheng-Yi Ma, Hui-Ling Wu, Quan-Yong Zhu   +3 more
doaj   +1 more source

Higher order Hirota bilinear forms

Journal of Physics: Conference Series
Abstract In this paper we study Hirota bilinear forms of the type P ( D
Gürses, Metin, Pekcan, Aslı
openaire   +2 more sources

Lump and Interaction Solutions to the (3+1)-Dimensional Variable-Coefficient Nonlinear Wave Equation with Multidimensional Binary Bell Polynomials

Journal of Function Spaces, 2021
In this paper, we study the (3+1)-dimensional variable-coefficient nonlinear wave equation which is taken in soliton theory and generated by utilizing the Hirota bilinear technique.
Xuejun Zhou, Onur Alp Ilhan, Fangyuan Zhou, Sutarto Sutarto, Jalil Manafian, Mostafa Abotaleb   +5 more
doaj   +1 more source

New double Wronskian exact solutions for a generalized (2+1)-dimensional nonlinear system with variable coefficients

Partial Differential Equations in Applied Mathematics, 2021
New generalized (2+1)-dimensional Boussinesq system with variable coefficients has been introduced. A double Wronskian solutions has been formulated to the new system under certain constraints on the variable coefficients.
Alrazi Abdeljabbar
doaj   +1 more source

Riverbank Erosion Susceptibility Under Varying Sedimentological and Freeze–Thaw Conditions in Cold Climate Regions

Earth Surface Processes and Landforms, Volume 51, Issue 10, October 2026.
Freeze–thaw processes, moisture, and sediment properties control riverbank erosion in boreal–subarctic rivers. Field measurements, geotechnical analyses and monitoring reveal continuous, seasonally driven erosion, while climate projections indicate reduced freezing, potentially increasing erosion risk under warming conditions.
Tuure Takala, Pauli Kolisoja, Nuutti Vuorimies, Erik van Rooijen, Eliisa Lotsari   +4 more
wiley   +1 more source