Results 71 to 80 of about 394 (186)

New Solutions of Breaking Soliton Equation Using Softmax Method

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This study presents the application of a novel Softmax method to obtain exact analytical solutions of the breaking soliton equation, a nonlinear partial differential equation that models complex wave phenomena. By transforming the governing equation into an ordinary differential equation using a traveling wave transformation and constructing a solution
Nguyen Minh Tuan, Phayung Meesad, Nguyen Hong Son, Kannan Krithivasan   +3 more
wiley   +1 more source

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

Construction of Nth-order rogue wave solutions for Hirota equation by means of bilinear method

, 2014
10 pages, 2 ...
Mu, Gui, Qin, Zhenyun
openaire   +2 more sources

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

Construction of bilinear Bäcklund transformation and complexitons for a newer form of Boussinesq equation describing shallow water waves

Results in Physics
This research investigates the characteristics and attributes of a new (3+ 1)-dimensional Boussinesq equation that describes shallow water waves in higher dimensions.
Faisal Javed, Miguel Vivas-Cortez, Zil-E-Huma, Nauman Raza, M.S. Alqarni   +4 more
doaj   +1 more source

Solitonic wave solutions of a Hamiltonian nonlinear atom chain model through the Hirota bilinear transformation method

Open Physics
Abstract This study employs the Hirota bilinear transformation method to investigate solitary and soliton solutions resulting from different symmetry wave functions associated with nonlinear atom chain models. These models are complex dynamic systems that have an impact on a variety of scientific areas.
Ceesay Baboucarr, Baber Muhammad Z., Ahmed Nauman, Macías Siegfried, Macías-Díaz Jorge E., Medina-Guevara María G.   +5 more
openaire   +2 more sources