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Singular products and universality in higher-derivative conformal theory
I investigate universality of the two-dimensional higher-derivative conformal theory using the method of singular products. The previous results for...
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Investigation of travelling wave solutions for the (3 + 1)-dimensional hyperbolic nonlinear Schrödinger equation using Riccati equation and F-expansion techniques
The (3 + 1)-dimensional hyperbolic nonlinear Schrödinger equation (HNLS) is used as a model for different physical phenomena such as the propagation...
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Vertex operators of the KP hierarchy and singular algebraic curves
Quasi-periodic solutions of the KP hierarchy acted by vertex operators are studied. We show, with the aid of the Sato Grassmannian, that solutions...
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Regular and singular dust ion-acoustic soliton structures in superthermal plasmas: Adomian decomposition approach
Regular and singular dust ion-acoustic solitons structures have been investigated employing a semi-analytical scheme, Adomian decomposition method...
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Optical singular and dark solitons to the nonlinear Schrödinger equation in magneto-optic waveguides with anti-cubic nonlinearity
The present paper aims to investigate the coupled nonlinear Schrödinger equation in magneto-optic waveguides having anti-cubic (AC) law nonlinearity....
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Feynman Integral in Terms of the Wiener Integral
The Feynman integral (in the way formulated by Feynman) has no rigorous mathematical meaning as shown by Gelfand and Yaglom. An imaginary time...
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Mathematical operations and equation solving with reconfigurable metadevices
Performing analog computations with metastructures is an emerging wave-based paradigm for solving mathematical problems. For such devices, one major...
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Hirota–Maccari system arises in single-mode fibers: abundant optical solutions via the modified auxiliary equation method
This research paper’s primary goal is to find fresh approaches to the Hirota–Maccari system. This system explains the dynamical features of the...
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Symbol alphabets from the Landau singular locus
We provide evidence through two loops, that rational letters of polylogarithmic Feynman integrals are captured by the Landau equations, when the...
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Investigation of Brownian motion in stochastic Schrödinger wave equation using the modified generalized Riccati equation map** method
This work investigates the stochastic nonlinear Schrödinger equation in a more extended form, influenced by multiplicative noise which represents the...
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Optical soliton solutions of perturbed nonlinear Schrödinger equation with parabolic law nonlinearity
This manuscript represents some solitary wave solutions to the perturbed nonlinear Schrödinger equation studied for parabolic law of nonlinearity....
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Probability Conservation for Multi-time Integral Equations
In relativistic quantum theory, one sometimes considers integral equations for a wave function...
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Wave structures of the (3+1)-dimensional nonlinear extended quantum Zakharov–Kuznetsov equation: analytical insights utilizing two high impact methods
In this manuscript, we employ the unified method and the Sardar subequation method to systematically analyze various wave structures within the...
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Diverse optical wave structures to the time-fractional phi-four equation in nuclear physics through two powerful methods
This research delves into a comprehensive exploration of exact solutions for the time-space fractional phi-four equation through the implementation...
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Spinor Field Singular Functions in QED with Strong External Backgrounds
AbstractWe construct and study singular functions in strong-field QED with two external electromagnetic fields that represent principally different...
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Advanced exact solutions to the nano-ionic currents equation through MTs and the soliton equation containing the RLC transmission line
In this study, the double ( G ′/ G , 1/ G )-expansion method is utilized for illustrating the improved explicit integral solutions for the two of nonlinear...
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Integral equations in the H-polarized wave scattering from metasurface formed by finite multilayer graphene strip grating inside grounded dielectric slab
The H-polarized waves scattering and absorption by a metasurface, which consists of a multilayer grating of finite number of graphene strips inside a...
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Approximate Methods for Solving Hypersingular Integral Equations on Fractals
The paper consists of three parts. The first one is devoted to approximate methods for evaluating Riemann integrals, singular and hypersingular...
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A regular black hole as the final state of evolution of a singular black hole
We propose a novel black hole model in which singular and regular black holes are combined as a whole and more precisely singular and regular black...
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Dynamic study of Clannish Random Walker’s parabolic equation via extended direct algebraic method
In this article, we present an idea to attain the variety of novel optical solitons solutions for nonlinear time-fractional Clannish Random Walker’s...
