Results 71 to 80 of about 314 (173)

Fractals and Chaotic Solitons Phenomena in Conformable Coupled Higgs System

Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
The current study aims to construct and examine a new plethora of soliton solutions for the conformable coupled Higgs system (CCHS), a system of nonlinear fractional partial differential equations (NFPDEs) which was initially presented utilize a systematic structure to consider the responsive mechanism of the Higgs system in the electroweak theory ...
Naveed Iqbal, Wael W. Mohammed, Amjad E. Hamza, Shah Hussain, Yousef Jawarneh, Rasool Shah, Ahmed Ezzat Matouk   +6 more
wiley   +1 more source

Unification of integrable q-difference equations

Electronic Journal of Differential Equations, 2015
This article presents a unifying framework for q-discrete equations. We introduce a generalized q-difference equation in Hirota bilinear form and develop the associated three-q-soliton solutions which are described in polynomials of power functions ...
Burcu Silindir, Duygu Soyoglu
doaj  

Dynamical Structure of the Soliton Solution of M‐Fractional (2 + 1)‐Dimensional Heisenberg Ferromagnetic Spin Chain Model Through Advanced exp(−ϕ(ξ))‐Expansion Schemes in Mathematical Physics

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this piece of work, we give the particular traveling wave answers for the truncated time M‐fractional (2 + 1)‐Heisenberg ferromagnetic spin chain model that is researched by executing the advanced exp (−φ(ξ)) expansion technique. In order to reconnoiter such dynamics, the advanced exp(−φ(ξ)) expansion method integrates the truncated time M ...
Sakhawat Hossain, M. M. Rahman, Md. Habibul Bashar, Shimul Biswas, Md Mamunur Roshid, Tudor Barbu   +5 more
wiley   +1 more source

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

Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System

Complexity, 2020
The Benjamin–Ono equation is a useful model to describe the long internal gravity waves in deep stratified fluids. In this paper, the nonlocal Alice–Bob Benjamin–Ono system is induced via the parity and time-reversal symmetry reduction. By introducing an
Wang Shen, Zheng-Yi Ma, Jin-Xi Fei, Quan-Yong Zhu, Jun-Chao Chen   +4 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

Shallow-Water Wave Dynamics: Butterfly Waves, X-Waves, Multiple-Lump Waves, Rogue Waves, Stripe Soliton Interactions, Generalized Breathers, and Kuznetsov–Ma Breathers

Fractal and Fractional
A nonlinear (3+1)-dimensional nonlinear Geng equation that can be utilized to explain the dynamics of shallow-water waves in fluids is given special attention.
Sarfaraz Ahmed, Ujala Rehman, Jianbo Fei, Muhammad Irslan Khalid, Xiangsheng Chen   +4 more
doaj   +1 more source

The m-component super KP hierarchy in Kac-van de Leur version

Physics Letters B
In this paper, the m-component super KP hierarchy in form of free superfermions is constructed by Clifford superalgebra. The super bosonic counterpart of this hierarchy is described by using the vertex operators.
Huizhan Chen
doaj   +1 more source

Analysis of dynamics of fusion solitons of the generalized (3 +1)−Kadomtsev–Petviashvili equation [PDF]

Journal of Mahani Mathematical Research
The aim of this paper is to introduce a generalized $(3+1)$-Kadomtsev-Petviashvili equation which is used to describe waves in a ferromagnetic medium.
Muhammad Abubakar Isah, Asif Yokus
doaj   +1 more source

Bifurcation solitons, Y-type, distinct lumps and generalized breather in the thermophoretic motion equation via graphene sheets

Alexandria Engineering Journal
Learned from wrinkle wave motions, we concentrated on bifurcation phenomena in substrate-supported graphene sheets by obtaining the bifurcation solitons of thermophoretic motion equation.
Aly R. Seadawy, Ali Ahmad, Syed T.R. Rizvi, Sarfaraz Ahmed   +3 more
doaj   +1 more source