14 citations · 41 across the 18 of their papers we have counts for
18 papers
Phase-dependent kink collisions and dual critical-velocity branches in the complex sine-Gordon model
Mohammad Mohammadi, Farnaz Eizadbaksh, Vahideh Bagheri
The complex sine-Gordon (CSG) model contains an internal phase degree of freedom that strongly modifies the dynamics of its solitary-wave solutions. We present a numerical study of…
A Numerical Study of Phase-Dependent Kink-Kink Collisions in the Complex Sine-Gordon Model
Mohammad Mohammadi, Farnaz Eizadbaksh, Vahideh Bagheri
We investigate the collision dynamics of complex kink solutions in the complex sine-Gordon (CSG) model, focusing on the influence of the relative phase and initial velocity. The mo…
Extension of local positive definite -superfunctions
Fatemeh Nikzad Pasikhani, Mohammad Mohammadi, Saad Varsaie
By defining a concept of boundedness for -superfunction, we show that each local positive definite -superfunctions, which is bounded in some sen…
Scattering of kinks in the model
Mohammad Mohammadi, Ehsan Momeni
In this study, based on the model, a new model (called the model) is introduced in which the potential form for the values of the field whose magnitudes are greater th…
Faster-Than-Light Solitons in 1 + 1 Dimensions
Mohammad Mohammadi, Nematollah Riazi, Mohammad Hassan Dhegihani
The existence of a faster-than-light particle is in direct opposition to Einstein's relativity and the principle of causality. However, we show that the theory of classical relativ…
Relativistic k-fields with Massless Soliton Solutions in 3+1 Dimensions
M. Mohammadi, R. Gheisari
In this work, the relativistic non-standard Lagrangian densities (k-fields) with massless solutions are generally introduced. Such solutions are not necessarily energetically stabl…
The Affective Factors on the Uncertainty in the Collisions of the Soliton Solutions of the Double Field sine-Gordon System
Mohammad Mohammadi, Nematollah Riazi
Inspired by the well known sine-Gordon equation, we present a symmetric coupled system of two real scalar fields in dimensions. There are three different topological soliton…
Stability Catalyzer for a Relativistic Non-Topological Soliton Solution
Mohammad Mohammadi
For a real nonlinear Klein-Gordon Lagrangian density with a special solitary wave solution (SSWS), which is essentially unstable, it is shown how adding a proper additional massles…
The Super Lie Groups Associated to Odd Involutions
Mohammad Mohammadi, Saad Varsaie
A new generalization of Grassmannians in supergeometry, called Grassmannians, are constructed by gluing domains. By a domain, we mean a superdomain with an odd involuti…
On the Construction of Supergrassmannians as Homogeneous Superspaces
Mohammad Mohammadi, Saad Varsaie
In this paper, we construct the supergrassmannians by gluing of the superdomains and give an explicit description of the action of the $\mat…
Zero Rest Mass Soliton Solutions
Mohammad. Mohammadi, Rohollah. Gheisari
In this paper, extended Klein-Gordon field systems will be introduced. Theoretically, it will be shown that for a special example of these systems, it is possible to have a single…
Introducing a Relativistic Nonlinear Field System With a Single Stable Non-Topological Soliton Solution in 1+1 Dimensions
Mohammad Mohammadi
In this paper we present a new extended complex nonlinear Klein-Gordon Lagrangian density, which bears a single non-topological soliton solution with a specific rest frequency $ω_{…
Non-Topological Solitons in Dimensions
M. Mohammadi, A. R. Olamaei
The paper, classically, presents a special stable non-topological solitary wave packet solution in dimensions for an extended complex non-linear Klein-Gordon (CNKG) field sys…
A Novel Supergeometric Generalization of Grassmannians
Fereshteh Bahadorykhalily, Mohammad Mohammadi, Saad Varsaie
A new generalization of Grassmannians to supergeometry, different from the well known supergrassmannian, is introduced. These are constructed by gluing a finite number of copies of…
Supergrassmannians as Homogeneous Superspaces
Mohammad Mohammadi, Saad Varsaie
A homogeneous space is a manifold on which a Lie group acts transitively. Super generalization of this concept is also studied in [2] and [4]. In this paper we explicitly show that…
The Gelfand-Naimark-Segal construction for unitary representatins of -graded Lie supergroups
Mohammad Mohammadi, Hadi Salmasian
We establish a Gelfand-Naimark-Segal construction which yields a correspondence between cyclic unitary representations and positive definite superfunctions of a general class of $\…
Nonlinear (Anharmonic) Casimir Oscillator
Habibollah Razmi, Mohammad Reza Mohammadi, Mahnaz Abdollahi +1
We want to study the dynamics of a simple linear harmonic micro spring which is under the influence of the quantum Casimir force/pressure and thus behaves as a (an) nonlinear (anha…
Separability in 1+1 Dimensions in Classical Nonlinear Fields
Azizollah Azizi, Mohammad Mohammadi
Solitary wave and soliton solutions of nonlinear equations are well known for physicists. A soliton is a solitary wave with some outstanding features which make it reasonable to be…