Analytical insights into cold bosonic atoms in a zigzag optical lattice: Invariant analysis, exact solutions, and bifurcation analysis using phase portraits
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DOI: 10.1002/mma.10161
Abstract: This work delves into the behavior of cold bosonic atoms within a zigzag optical lattice which offers a rich platform for studying quantum many‐body physics and has potential applications in various fields including quantum simulation,… read more here.
Keywords: exact solutions; analysis; optical lattice; cold bosonic ... See more keywords
New exact solutions of a nonlinear integrable equation
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DOI: 10.1002/mma.6419
Abstract: Analytic solutions of the partial differential equations are needed to explain many phenomena seen in thermodynamics, aerodynamics, plasma physics, and other fields. In this paper, variational principle is analyzed of the integrable nonlinear Korteweg–de Vries… read more here.
Keywords: integrable equation; new exact; solutions nonlinear; equation ... See more keywords
Abundant exact solutions to a generalized nonlinear Schrödinger equation with local fractional derivative
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DOI: 10.1002/mma.7302
Abstract: The paper aims to employ a new effective methodology to build exact fractional solutions to the generalized nonlinear Schrödinger equation with a local fractional operator defined on Cantor sets. The equation contains group velocity dispersion… read more here.
Keywords: generalized nonlinear; nonlinear schr; solutions generalized; equation ... See more keywords
Parameterized Algorithmics for Finding Exact Solutions of NP-Hard Biological Problems.
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DOI: 10.1007/978-1-4939-6613-4_20
Abstract: Fixed-parameter algorithms are designed to efficiently find optimal solutions to some computationally hard (NP-hard) problems by identifying and exploiting "small" problem-specific parameters. We survey practical techniques to develop such algorithms. Each technique is introduced and… read more here.
Keywords: algorithmics finding; biological problems; finding exact; parameterized algorithmics ... See more keywords
Exact solutions of 2d supersymmetric gauge theories
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DOI: 10.1007/jhep11(2019)174
Abstract: Abstract We study dynamics of two-dimensional non-abelian gauge theories with $$ \mathcal{N} $$ N = (0, 2) supersymmetry that include $$ \mathcal{N} $$ N = (0, 2) supersymmetric QCD and its generaliza- tions. In particular,… read more here.
Keywords: solutions supersymmetric; energy; supersymmetric gauge; physics ... See more keywords
Polynomial solutions and other exact solutions of axisymmetric generalized Beltrami flows
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DOI: 10.1007/s00707-018-2137-z
Abstract: In this paper we have obtained different families of exact solutions for incompressible generalized Beltrami flows. We derive all possible polynomial solutions of incompressible axisymmetric generalized Beltrami flows in the variables r and z in… read more here.
Keywords: generalized beltrami; polynomial solutions; axisymmetric generalized; beltrami flows ... See more keywords
Class of Exact Solutions for a Cosmological Model of Unified Gravitational and Quintessence Fields
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DOI: 10.1007/s10701-017-0091-6
Abstract: A new approach to tackle Einstein equations for an isotropic and homogeneous Friedmann–Robertson–Walker Universe in the presence of a quintessence scalar field is devised. It provides a way to get a simple exact solution to… read more here.
Keywords: class exact; quintessence; solution; cosmological model ... See more keywords
Gravity Gradient Tensor of Arbitrary 3D Polyhedral Bodies with up to Third-Order Polynomial Horizontal and Vertical Mass Contrasts
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DOI: 10.1007/s10712-018-9467-1
Abstract: During the last 20 years, geophysicists have developed great interest in using gravity gradient tensor signals to study bodies of anomalous density in the Earth. Deriving exact solutions of the gravity gradient tensor signals has… read more here.
Keywords: gradient; gravity gradient; exact solutions; gradient tensor ... See more keywords
The zero mass limit of Kerr and Kerr-(anti-)de-Sitter space-times: exact solutions and wormholes
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DOI: 10.1007/s10714-018-2351-y
Abstract: Heun-type exact solutions emerge for both the radial and the angular equations for the case of a scalar particle coupled to the zero mass limit of both the Kerr and Kerr-(anti)de-Sitter spacetime. Since any type… read more here.
Keywords: kerr; limit kerr; zero mass; exact solutions ... See more keywords
Reconstruction and exact solutions for cosmological perturbations from a generalized gravity theory
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DOI: 10.1007/s10714-020-02685-z
Abstract: Scalar and tensor cosmological perturbations during an inflationary universe scenario in the context of the a generalized gravity theory are studied. This analyze is carried out considering an ansatz on the variables associated to scalar… read more here.
Keywords: gravity theory; generalized gravity; cosmological perturbations; solutions cosmological ... See more keywords
A simple technique for constructing exact solutions to nonlinear differential equations with conformable fractional derivative
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DOI: 10.1007/s11082-017-1105-5
Abstract: The modified simple equation method is an interesting technique to find new and more general exact solutions to the fractional differential equations in nonlinear sciences. In this paper, the method is applied to construct exact… read more here.
Keywords: simple technique; technique constructing; constructing exact; differential equations ... See more keywords