Results 31 to 40 of about 314 (173)

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

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

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

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

Algebraic solutions of the Hirota bilinear form for the Korteweg-de Vries and Boussinesq equations

Indian Journal of Pure and Applied Mathematics, 2015
In this paper, the authors analyze the Hirota bilinear forms for the Korteweg-de Vries (K-dV) equation and the Boussinesq equation from the point of view of symmetry analysis to reduce the \((1+1)\) evolution equations to ordinary differential equations.
Krishnakumar, K., Tamizhmani, K. M., Leach, P. G. L.   +2 more
openaire   +2 more sources

Spatial self-bending soliton phenomenon of (2+1) dimensional bidirectional Sawada-Kotera equation

Results in Physics, 2023
In this study, we delve into the phenomenon of spatial self-bending solitons within the context of the (2+1)-dimensional bidirectional Sawada-Kotera equation.
Jing Wang, Biao Li
doaj   +1 more source

Construction of multi-wave complexiton solutions of the Kadomtsev-Petviashvili equation via two efficient analyzing techniques

Results in Physics, 2021
This study aims to investigate the (2 + 1)-dimensional Kadomtsev-Petviashvili equation via the three-waves method through the Hirota bilinear form and the Kudryashov’s method.
Abdullahi Yusuf, Tukur Abdulkadir Sulaiman, E.M. Khalil, Mustafa Bayram, Hijaz Ahmad   +4 more
doaj   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Wronskian and Grammian solutions for the (2+1)-dimensional BKP equation

Theoretical and Applied Mechanics Letters, 2014
The (2 + 1)-dimensional BKP equation in the Hirota bilinear form is studied during this work. Wronskian and Grammian techniques are applied to the construction of Wronskian and Grammian solutions of this equation, respectively.
Yaning Tang, Yanna Chen, Lei Wang
doaj   +1 more source

Constructing Traveling Wave Solutions via a Generalized Expansion Method for Nonlinear Evolution Equations Possessing Variable Coefficients

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
In this article, a highly generalized way of studying nonlinear evolution equations (NLEEs) with time‐dependent variable coefficients is provided. The innovative exact solutions of the Kadomtsev–Petviashvili (KP) equation and the modified Korteweg–de Vries (mKdV) equation with temporal variable coefficients are evaluated by using the extended ...
Abdul Saboor, Xianhua Song, Muhammad Shakeel, Muhammad Qamar Fareed, Baboucarr Ceesay, Kang-Jia Wang   +5 more
wiley   +1 more source