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Investigating the generalized Kudryashov’s equation in magneto-optic waveguide through the use of a couple integration techniques
This study addresses the modeling pulse propagation in optical fibers, focusing on a coupled system of nonlinear Schrödinger’s equation for the...
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Solitons propagation in magneto-optic waveguides having generalized anti-cubic law of nonlinearity
In this paper, we explore new optical solitons for the coupled nonlinear Schrödinger equation with generalized anti-cubic nonlinearity, which governs...
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New optical solitons for perturbed stochastic nonlinear Schrödinger equation by functional variable method
In this paper, the functional variable method is used to obtain new optical soliton solutions for the perturbed stochastic nonlinear Schrödinger...
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Dynamical behavior of the fractional generalized nonlinear Schrödinger equation of third-order
The generalized nonlinear Schrödinger equation with M-truncated derivatives (GNLSE-MTD) is studied here. By using generalized Riccati equation and...
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Mock modularity and a secondary elliptic genus
The theory of Topological Modular Forms suggests the existence of deformation invariants for two-dimensional supersymmetric field theories that are...
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Analytic solutions to the fractional kinetic equation involving the generalized Mittag-Leffler function using the degenerate Laplace type integral approach
Recently, several fractional kinetic equations involving various special functions have been widely and usefully used in describing and solving...
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Novel solitary and periodic waves for the extended cubic (3+1)-dimensional Schrödinger equation
In this paper, the extended (3+1)-dimensional cubic Schrödinger equation (3D-CNLSE) describes the propagation of pulses in highly nonlinear optical...
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An elliptic integrable deformation of the Principal Chiral Model
We introduce a new elliptic integrable σ -model in the form of a two-parameter deformation of the Principal Chiral Model on the group SL ℝ ( N ),...
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Soliton solutions to the conformable time-fractional generalized Benjamin–Bona–Mahony equation using the functional variable method
The fundamental intention of this article is to find several soliton solutions to the generalized Benjamin–Bona–Mahony equation. The fractional...
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Non-linear soliton solutions of perturbed Chen-Lee-Liu model by \(\Phi ^{6}-\)model expansion approach
This study deals with the perturbed Chen-Lee-Liu governing mode which portrays the propagating phenomena of the optical pulses in the discipline of...
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Optical solitons to the Perturbed Gerdjikov-Ivanov equation with quantic nonlinearity
In this article, we examine the Perturbed Gerdjikov-Ivanov equation by using the Jacobi elliptic function expansion method. This results in obtaining...
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Dynamical properties and new optical soliton solutions of a generalized nonlinear Schrödinger equation
For exploring the behavior of complex two-dimensional systems, the idea of planar dynamical systems offers a potent and adaptable framework. It is...
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Analysing of different wave structures to the dissipative NLS equation and modulation instability
This study investigates the (1+1) dimensional dissipative nonlinear Schrödinger equation, which has applications in modeling the evolution of swell...
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Dynamics of generalized time-fractional viscous-capillarity compressible fluid model
This analysis examines the time-fractional mixed hyperbolic-elliptic p -system of conservation laws by applying the new extended direct algebraic...
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On solitary wave solutions for the extended nonlinear Schrödinger equation via the modified F-expansion method
Because the importance of the optical wave propagation in fibers, we seek for the optical travelling wave solutions and effect of the third-order...
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Optical solitons with Kudryashov’s quintuple power–law coupled with dual form of non–local law of refractive index with extended Jacobi’s elliptic function
The extended Jacobi’s elliptic function scheme is implemented in this paper to recover a wide range of optical solitons for nonlinear Schrödinger’s...
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Loop-by-loop differential equations for dual (elliptic) Feynman integrals
We present a loop-by-loop method for computing the differential equations of Feynman integrals using the recently developed dual form formalism. We...
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Unveiling optical solitons and other solutions for fourth-order (2+1)-dimensional nonlinear Schrödinger equation by modified extended direct algebraic method
The (2+1)-dimensional nonlinear Schrödinger equation with fourth-order nonlinearity and dispersion is investigated in this study. Several optical...
