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Non-compatible partially PT symmetric Davey-Stewartson system: rational solution in constant wave background
This paper derives a family of rational solutions with several non-zero offset parameters for a non-compatible partially PT symmetric...
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Rational and semi-rational solutions to the Davey–Stewartson III equation
In this paper, based on the combination of Hirota’s bilinear method and long wave limit technique, we investigate rational and semi-rational...
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Rational and semi-rational solutions of a (3+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff equation
This paper mainly focuses on a (3+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff equation which provides overwhelming support for studying...
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Rational Approximation and Noise
In the previous lecture I discussed (and advertised) a special type of rational approximation to functions of the complex variable – the one that can...
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Decision-Making Among Bounded Rational Agents
When robots share the same workspace with other intelligent agents (e.g., other robots or humans), they must be able to reason about the behaviors of...
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7 Rational Treatment of Uncertainties
Structural analysis up to this date, generally is still based on a deterministic conception. Observed variations in loading conditions, material...
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An Improved Rational Approximation of Bark Scale Using Low Complexity and Low Delay Filter Banks
This paper proposes an algorithm to obtain the sampling factors to model any frequency partitioning so that it is realized using low complexity...
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A high dimensional evolution model and its rogue wave solution, breather solution and mixed solutions
In this study, a bilinear neural network method is used to solve the exact solutions of the (2 + 1)-dimensional Kadomtsev–Petviashvili equation,...
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Meshless Barycentric Rational Interpolation Method for Solving Nonlinear Stochastic Fractional Integro-Differential Equations
This article suggests an accurate computational approach based on meshless barycentric rational interpolation and spectral method to solve a class of...
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Lump solution, lump-stripe solution, rogue wave solution and periodic solution of the (2 + 1)-dimensional Fokas system
In this paper, the goal is to focus on the localized characteristics and dynamic behavior of lump solutions and interaction solutions for the...
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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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Selection and Justification of Rational Technical Solutions for Power Supply Systems based on Solar Energy
AbstractThis article discusses the issue of choosing the location and capacity of a photovoltaic (PV) plant in a rational way for the power supply of...
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Solitons, breathers and rational solutions for the (2 + 1)-dimensional Konopelchenko–Dubrovsky equation
This paper explores the Konopelchenko–Dubrovsky (KD) equation and employs Hirota’s bilinear method and Kadomtsev–Petviashvili (KP) hierarchy...
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Semi-analytical method for solving a model of the evolution of smoking habit using global rational approximants
The evolution of the smoking habit represents a complicated issue that requires a deep understanding in order to formulate effective public health...
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Rational Theory of Intuition and Its Epistemological Consequences
This chapter explains and develops the Rational Theory of Intuition introduced in (Wierzbicki 1992, 1997). After preliminary comments, it is...
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Generalized Aerodynamic Force Matrix and Rational Function Approximation
The actual output of the Doublet Lattice Method is the generalized aerodynamic force matrix for a discrete set of input frequencies. However, often,...
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Exploring localized waves and different dynamics of solitons in (2 + 1)-dimensional Hirota bilinear equation: a multivariate generalized exponential rational integral function approach
This study introduces the multivariate generalized exponential rational integral function (MGERIF) approach for solving the Hirota bilinear problem...
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General soliton, line breather and (semi-)rational solutions for the nonlocal long-wave-short-wave resonance interaction equation
In this work, the general solutions of the nonlocal long-wave-short-wave resonance interaction (LSRI) equation with nonzero boundary conditions are...
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Rational solutions consisting of multiple lump waves and line rogue waves in different spaces of the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation in incompressible fluid
In this paper, a (3+1)-dimensional Boiti–Leon–Manana–Pempinelli equation in incompressible fluid is mainly considered to investigate the rational...
