40 Result(s)
within
Mohammad Mirzazadeh
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Article
Highly dispersive optical solitons in fiber Bragg gratings with cubic quadratic nonlinearity using improved modified extended tanh-function method
This study investigates optical solitons and other traveling wave solutions in fiber Bragg gratings for coupled nonlinear Schrödinger equations with cubic quadratic nonlinearity using the improved modified ext...
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Article
Retrieval solitons and other wave solutions to kudryashov’s equation with generalized anti-cubic nonlinearity and local fractional derivative using an efficient technique
In this paper, we investigate the conformable derivative effect on the travelling wave solutions for extended \((3+1)\) ...
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Article
Optical solitons of higher order mathematical model with refractive index using Kudryashov method
Studying the highly dispersive model with arbitrary refractive index initiated by Kudryashov is the subject of this work. This model depicts the behavior of soliton propagation via polarization-preserving fibe...
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Generating optical solitons in the extended (3 + 1)-dimensional nonlinear Kudryashov’s equation using the extended F-expansion method
This study centers on examining the characteristics of the recently extended \((3+1)\) ...
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Optical solitons of new extended (3+1)-dimensional nonlinear Kudryashov’s equation via \(\mathbf {\varvec{\phi }^{6}}\) -model expansion method
The newly developed (3+1)-dimensional nonlinear Kudryashov’s equation offers a framework for studying the behavior of propagating modulated envelope signals and is particularly useful in the fields, where the ...
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Article
Optical bullets and domain walls with cross-spatio dispersion having parabolic law of nonlinear refractive index
This paper recovers optical bullets and domain walls with extended version of chromatic dispersion having parabolic law of self-phase modulation. Two integration approaches, namely the enhanced Kudryashov’s ap...
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Article
A wide spectrum of optical solitons for the dispersive concatenation model
The current paper is on the dynamics of optical solitons that stem from the dispersive concatenation model. Three integration algorithms collectively reveal a full spectrum of optical solitons to the model. Th...
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Analytical study of three-soliton interactions with different phases in nonlinear optics
Excessive nonlinear drift in optical communication systems can lead to splitting of solitons and coexistence of multiple solitons, thereby affecting communication quality. In this paper, we investigate the non...
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Investigation of solitons and conservation laws in an inhomogeneous optical fiber through a generalized derivative nonlinear Schrödinger equation with quintic nonlinearity
The current research investigates the behavior of femtosecond solitary waves in an inhomogeneous optical fiber using the generalized derivative nonlinear Schrödinger equation with quintic nonlinearity. The ext...
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Article
Retrieval of optical solitons for nonlinear models with Kudryashov’s quintuple power law and dual-form nonlocal nonlinearity
This paper focuses on the use of the Sardar sub-equation method to obtain optical solitons for a nonlinear model that incorporates Kudryashov’s quintuple power law and dual-form nonlocal nonlinearity. The mode...
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Article
Generation and transformation of dark solitons, anti-dark solitons and dark double-hump solitons
Dark solitons are widely applied in optical fiber communication system due to the characteristics of strong anti-interference and slow attenuation. The coupled nonlinear Schrödinger equations with the higher-o...
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Article
A New (4 + 1)-Dimensional Burgers Equation: Its Bäcklund Transformation and Real and Complex \(N\) -Kink Solitons
Studying the dynamics of solitons in nonlinear evolution equations (NLEEs) has gained considerable interest in the last decades. Accordingly, the search for soliton solutions of NLEEs has been the main topic o...
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M-truncated optical solitons to a nonlinear Schrödinger equation describing the pulse propagation through a two-mode optical fiber
In this paper, the optical solitons with M-truncated derivative and other solutions to the coupled nonlinear Schrodinger equation (NLSE) are obtained. The coupled NLSE describes the pulse propagation through a tw...
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Article
An efficient Monte Carlo simulation for new uncertain Heston–CIR hybrid model
In this paper, we consider two new stock models in which their differential equations are modeled by Liu process in uncertain environment. Firstly, we study the uncertain Schöbel–Zhu–Hull–White hybrid model an...
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Article
The (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation: its solitons and Jacobi elliptic function solutions
The search for exact solutions of nonlinear evolution models with different wave structures has achieved significant attention in recent decades. The present paper studies a nonlinear (2 + 1)-dimensional evolu...
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Article
Soliton Solutions of High-order Nonlinear Schrödinger Equations with Different Laws of Nonlinearities
In the present paper, high-order nonlinear Schrödinger equations in non-Kerr law media with different laws of nonlinearities are studied. In this respect, after considering a complex envelope and distinguishin...
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Article
A New \((3+1)\) -dimensional Hirota Bilinear Equation: Its Bäcklund Transformation and Rational-type Solutions
The behavior of specific dispersive waves in a new \((3+1)\) -dimensional Hirota bilinear (3D-HB) equation is studied. A Bäcklun...
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Article
Applications of three methods for obtaining optical soliton solutions for the Lakshmanan–Porsezian–Daniel model with Kerr law nonlinearity
This paper examines new travelling wave solutions to the Lakshmanan–Porsezian–Daniel (LPD) model with Kerr nonlinearity using Bäcklund transformation method based on Riccati equation, Kudryashov method and a n...
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Article
The propagation of waves in thin-film ferroelectric materials
The nonlinear evolution equation describing the propagation of waves in thin-film ferrroelectric materials is investigated in detail. The modified extended tanh method is used for the purpose and, as a result,...
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Article
Dromion-like soliton interactions for nonlinear Schrödinger equation with variable coefficients in inhomogeneous optical fibers
In this paper, a generalized nonlinear Schrödinger equation with variable coefficients is investigated. According to the analytic soliton solutions, the dromion-like structures between soliton interactions are...
