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Interference Phenomenon in the Wavepacket-Triangular Prism Collision in Fractional Schrodinger Equation
Collision of one, two, and three Gaussian wavepackets with a triangular prism and the evolution of a static Gaussian wavepacket inside the prism has...
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New Classes of Exact Solutions to Three-dimensional Schrodinger Equation
New classes of exact solutions for the steady state Schrodinger equation are derived in this paper. The solutions are derived for both non-zero...
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Riemann–Hilbert approach and N double-pole solutions for the third-order flow equation of nonlinear derivative Schrödinger-type equation
This paper is concerned with the application of the inverse scattering transforms to a third-order flow equation of nonlinear derivative...
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Simulations of Instationary Schrodinger Equation with Coupled Time- and Space Splitting Methods
In this paper, we present a coupled method of a time- and spatial-splitting approach. Such combined methods are used to reduce the computational...
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Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients
Variable coefficients nonlinear evolution equations offer us with more real aspects in the inhomogeneities of media and nonuniformities of boundaries...
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Soliton interactions, soliton bifurcations and molecules, breather molecules, breather-to-soliton transitions, and conservation laws for a nonlinear (3+1)-dimensional shallow water wave equation
In this study, we employ the bilinear method to construct N th-order solutions for a nonlinear (3+1)-dimensional shallow water equation. Subsequently,...
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High-Precision Method for Space-Time-Fractional Klein-Gordon Equation
This paper presents the space-time fractional Klein-Gordon equations (FKGEs) for the spinless particle in potential field. It defines to describe the...
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Exact solutions of position-dependent mass Schrödinger equation with pseudoharmonic oscillator and its thermal properties using extended Nikiforov–Uvarov method
In this work, we find the exact solution of Schrödinger wave equation for position-dependent mass with pseudoharmonic oscillator using extended...
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A map** from Schrodinger equation to Navier–Stokes equations through the product-like fractal geometry, fractal time derivative operator and variable thermal conductivity
In this study, the concept of the product-like fractal measure introduced by Li and Ostoja-Starzewski in their formulation of fractal continuum media...
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Bifurcations, chaotic behavior, sensitivity analysis and new optical solitons solutions of Sasa-Satsuma equation
The Sasa-Satsuma (SS) equation is studied in this research study using ideas from planar dynamical theory and the beta differential operator. The SS...
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Exact solutions of time fractional generalized Burgers–Fisher equation using exp and exponential rational function methods
In this paper, we deployed the Exp Function (EF) and Exponential Rational Function (ERF) methods on the Time Fractional Generalized Burgers–Fisher...
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Research on alleviating nonlinear problem by data feature extraction and fusion based on DFT-spread
Coherent optical orthogonal frequency division multiplexing (CO-OFDM) system is susceptible to nonlinear effects because of its intrinsic high...
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Application of the tight-binding method onto the Von Neumann equation
This paper presents a numerical framework for the analysis of quantum devices based on the Von Neumann (VN) equation, which involves the concept of...
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In the Atmosphere and Oceanic Fluids: Scaling Transformations, Bilinear Forms, Bäcklund Transformations and Solitons for A Generalized Variable-Coefficient Korteweg-de Vries-Modified Korteweg-de Vries Equation
The atmosphere is an evolutionary agent essential to the sha** of a planet, while in oceanic science and daily life, liquids are commonly seen. In...
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Mittag–Leffler Stability of Impulsive Nonlinear Fractional-Order Systems with Time Delays
Stability analysis of impulsive nonlinear fractional-order system (FOS) is discussed. First, the existence and uniqueness of solutions for FOS is...
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Study on weakening optical soliton interaction in nonlinear optics
The interactions between optical solitons have obviously effects on the capacity and quality of communication systems, which will lead to the...
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Designing a Silicon-on-Insulator (SOI) Waveguide with an Aim of Studying Nonlinear Pulse Resha**
In recent years, silicon photonics has attracted a lot of attention. On the other hand, pulse resha** has been a fascinating research subject in...
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