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Retrieval of optical soliton solutions of stochastic perturbed Schrödinger-Hirota equation with Kerr law in the presence of spatio-temporal dispersion
In this study, for the first time, a study on optical soliton solutions of the stochastic perturbed Schrödinger-Hirota equation which models the...
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Superpotentials from singular divisors
We study Euclidean D3-branes wrap** divisors D in Calabi-Yau orientifold compactifications of type IIB string theory. Witten’s counting of fermion...
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Stochastic optical solitons of the perturbed nonlinear Schrödinger equation with Kerr law via Ito calculus
In this paper, we studied stochastic perturbed nonlinear Schrödinger equation in fibers with Kerr law nonlinearity. The investigated model is...
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Integral Representations of a Pulsed Signal in a Waveguide
AbstractThe problem of pulsed excitation of an acoustic waveguide with a constant cross section is considered. Absorption is ignored. As the most...
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Quest for realistic non-singular black-hole geometries: regular-center type
We propose seven criteria to single out physically reasonable non-singular black-hole models and adopt them to four different spherically symmetric...
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An accurate numerical method of solving singular boundary value problems for the stationary flow of granular materials and its application
The rigid/plastic solutions are singular near certain surfaces. A special numerical method is required to solve such boundary value problems. The...
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Higher-order Sasa–Satsuma equation: Nucci’s reduction and soliton solutions
This paper discusses the existence of a diverse range of novel periodic nonlinear waves in the generalized (3+1)-dimensional Sasa–Satsuma equation....
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New optical solitons for nonlinear longitudinal wave equation in magneto-electro-elastic circular rod using two integration algorithms
To get new optical soliton solutions for the nonlinear longitudinal wave equation in magneto-electro-elastic circular rod, the modified simple...
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Solution of the Diffusion Equation in Free Space
In this chapter, we focus on solving the diffusion equation under no spatial constraints, that is, in free space, to find a unique solution that will...
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Analytical soliton solutions of the fractional order dual-mode nonlinear Schrödinger equation with time-space conformable sense by some procedures
This paper considers the fractional order dual-mode nonlinear Schrödinger equation (FDMNLSE) with cubic law nonlinearity. The FDMNLSE interprets the...
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Integral Formulas for Slice Cauchy–Riemann Operator and Applications
The theory of slice regular functions has been developed rapidly in the past few years, and most properties are given in slices at the early stage....
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New analytical solutions to a medium with completing weakly nonlocal nonlinearity and parabolic law nonlinearity by modified first integral method
In this article, we investigated certain medium with completing weakly nonlocal nonlinearity and parabolic law nonlinearity, which has recently...
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Unraveling the dynamic complexity: exploring the (3+1)-dimensional conformable mKdV-ZK equation
The primary objective of this article is to construct novel solitary wave solutions for the nonlinear (3+1)-dimensional modified Korteweg-de...
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Solutions to the Equation of Motion
As a preliminary to solving the equation of motion (7.1) for the uniformly charged sphere of radius a and total charge e, write the magnitude of the...
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Derivation of optical solitons of dimensionless Fokas-Lenells equation with perturbation term using Sardar sub-equation method
This paper presents an investigation of soliton solutions for the perturbed Fokas-Lenells (pFL) equation, which has a vital role in optics, using...
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Derivation from Bloch Equation to von Neumann Equation to Schrödinger–Pauli Equation
The transition from classical physics to quantum mechanics has been mysterious. Here, we mathematically derive the space-independent von Neumann...
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Nonlinear superposition formulae of integrable partial differential equations by the singular manifold method
We study by the singular manifold method a few 1+1-dimensional partial differential equations which possess N-soliton solutions for arbitrary N, i.e....
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No-Slip Boundary Condition for Vorticity Equation in 2D Exterior Domain
In this article we derive the no-slip boundary condition for a non-stationary vorticity equation. This condition generates the affine invariant...
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Schrödinger operator in a half-plane with the Neumann condition on the boundary and a singular \(\delta\)-potential supported by two half-lines, and systems of functional-difference equations
AbstractWe study the asymptotics with respect to distance for the eigenfunction of the Schrödinger operator in a half-plane with a singular
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Trace anomaly of weyl fermions via the path integral
We compute the trace, diffeomorphism and Lorentz anomalies of a free Weyl fermion in a gravitational background field by path integral methods. This...