Results 91 to 100 of about 3,184 (198)

Novel Soliton and Wave Solutions for the Dual‐Perturbed Integrable Boussinesq Equation

Complexity, Volume 2025, Issue 1, 2025.
Nonlinear science represents a foundational frontier in scientific inquiry that explores the shared characteristics inherent in nonlinear phenomena. This study focused on the perturbed Boussinesq (PB) equation incorporating dual perturbation terms. Soliton solutions were deduced by leveraging the traveling wave hypothesis. Furthermore, by employing the
Akhtar Hussain, Tarek F. Ibrahim, Faizah D. Alanazi, Waleed M. Osman, Arafa A. Dawood, Jorge Herrera, Xianggui Guo   +6 more
wiley   +1 more source

A Study of the Wave Dynamics for the Reaction‐Diffusion Brusselator System and RKL Equation

Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
In this article, the reaction‐diffusion Brusselator system and the Radhakrishnan, Kundu, and Laskshmanan (RKL) equation are discussed. The investigation is focused on the solution procedure of the nonlinear evolution equations in chemical and biological processes.
Onur Alp İlhan, Jalil Manafian, Deepali
wiley   +1 more source

All the lowest order PDE for spectral gaps of Gaussian matrices

, 2010
Tracy-Widom (TW) equations for one-matrix unitary ensembles (UE) (equivalent to a particular case of Schlesinger equations for isomonodromic deformations) are rewritten in a general form which allows one to derive all the lowest order equations (PDE) for
Rumanov, Igor
core  

Two-mode coupled Burgers equation: Multiple-kink solutions and other exact solutions

Alexandria Engineering Journal, 2018
In this paper, we establish a new two-mode coupled Burgers equation (TMCBE). The necessary conditions that make the multiple kink solutions and the multiple singular kink solutions to TMCBE exist are founded using the simplified bilinear method. Moreover,
H.M. Jaradat
doaj   +1 more source

Bilinear approach to soliton and periodic wave solutions of two nonlinear evolution equations of Mathematical Physics

Advances in Difference Equations, 2019
In the present paper, the potential Kadomtsev–Petviashvili equation and ( 3+1 $3+1$)-dimensional potential-YTSF equation are investigated, which can be used to describe many mathematical and physical backgrounds, e.g., fluid dynamics and communications ...
Rui Cao, Qiulan Zhao, Lin Gao
doaj   +1 more source

Elastic and resonant interactions of a lump wave and solitary waves for the (2+1)-dimensional Ito equation

Results in Physics
In this paper, by using of a transformation with a parameter, together with the Hirota bilinear method, we obtain the 3-solitary wave and 4-solitary wave solutions of the (2+1)-dimensional Ito equation.
Meng-Yao Wang, Ai-Hua Chen, Lun-Jie Zhang   +2 more
doaj   +1 more source

Analyzing Soliton Solutions of the (n+1)-dimensional generalized Kadomtsev–Petviashvili equation: Comprehensive study of dark, bright, and periodic dynamics

Results in Physics
This paper investigates the (n+1) dimensional integrable extension of the Kadomtsev–Petviashvili (KP) equation. The study focuses on extracting Auto-Bäcklund transformations for the given model using the extended homogeneous balance (HB) method in ...
Nauman Raza, Ahmed Deifalla, Beenish Rani, Nehad Ali Shah, Adham E. Ragab   +4 more
doaj   +1 more source

Complex soliton dynamics in the M-truncated fractional nonlinear long-wave system: lump, breather and M-shape structures

Boundary Value Problems
In this study, we investigate the fractional modified regularized long-wave Burger (fMRLW–Burger) equation, a governing model widely used to explain the evolution of nonlinear surface water waves.
Badr Saad T. Alkahtani
doaj   +1 more source

Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation

Abstract and Applied Analysis, 2014
We introduce how to obtain the bilinear form and the exact periodic wave solutions of a class of (2+1)-dimensional nonlinear integrable differential equations directly and quickly with the help of the generalized Dp-operators, binary Bell polynomials ...
Huanhe Dong, Yanfeng Zhang, Yongfeng Zhang, Baoshu Yin   +3 more
doaj   +1 more source

Abundant wave symmetries in the (3+1)-dimensional Chafee–Infante equation through the Hirota bilinear transformation technique

Open Physics
The present study investigates different types of wave symmetries in the (3+1)\left(3+1)-dimensional Chafee–Infante equation via the Hirota bilinear transformation technique. In this work, we derived exact solutions that include bright and dark solitons,
Ceesay Baboucarr, Baber Muhammad Z., Ahmed Nauman, Shahid Naveed, Macías Siegfried, Macías-Díaz Jorge E.   +5 more
doaj   +1 more source