Geometric general solution to the U(1) anomaly equations
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DOI: 10.1007/jhep05(2020)065
Abstract: Costa et al. [ Phys. Rev. Lett. 123 (2019) 151601] recently gave a general solution to the anomaly equations for n charges in a U(1) gauge theory. ‘Primitive’ solutions of chiral fermion charges were parameterised… read more here.
Keywords: geometric general; solution anomaly; anomaly equations; general solution ... See more keywords
General Solution of the Inhomogeneous Div-Curl System and Consequences
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DOI: 10.1007/s00006-017-0805-z
Abstract: We consider the inhomogeneous div-curl system (i.e. to find a vector field with prescribed div and curl) in a bounded star-shaped domain in $$\mathbb {R}^3$$R3. An explicit general solution is given in terms of classical… read more here.
Keywords: general solution; curl system; div curl; solution ... See more keywords
New results for the multiplicative symmetric equation and related conjecture
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DOI: 10.1007/s00010-019-00663-8
Abstract: The general solution of the multiplicative symmetric functional equation $$f(f(x)y)=f(xf(y))$$ f ( f ( x ) y ) = f ( x f ( y ) ) , in abelian groups, was given by Dhombres.… read more here.
Keywords: multiplicative symmetric; new results; abelian groups; general solution ... See more keywords
First integrals and general solution of the Fokas–Lenells equation
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DOI: 10.1016/j.ijleo.2019.163135
Abstract: Abstract We consider the generalized Fokas–Lenells equation which has been become especially popular in recent years for the description soliton solutions in the optical fiber. This equation is studied by us using the traveling wave… read more here.
Keywords: first integrals; lenells equation; general solution; equation ... See more keywords
On the general solution and hyperstability of the general radical quintic functional equation in quasi-β-Banach spaces
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DOI: 10.1016/j.jmaa.2018.06.024
Abstract: Abstract The goal of this paper is to study the general solution of the following general radical quintic functional equation f ( a x 5 + b y 5 5 ) = r f (… read more here.
Keywords: general radical; general solution; functional equation; quintic functional ... See more keywords
On the General Solution of the Heideman–Hogan Family of Recurrences
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DOI: 10.1017/s0013091518000196
Abstract: Abstract We consider a family of nonlinear rational recurrences of odd order which was introduced by Heideman and Hogan, and recently rediscovered in the theory of Laurent phenomenon algebras (a generalization of cluster algebras). All… read more here.
Keywords: hogan family; solution heideman; general solution; heideman hogan ... See more keywords
Observational status of the Galileon model general solution from cosmological data and gravitational waves
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DOI: 10.1088/1475-7516/2019/05/011
Abstract: The Galileon model is a tensor-scalar theory of gravity which explains the late acceleration of the Universe expansion with no instabilities and recovers General Relativity in the strong field limit. Most constraints obtained so far… read more here.
Keywords: model; galileon model; cosmological data; general solution ... See more keywords
Representation of the general solution of an equation of the Cauchy–Riemann type with a supersingular circle and a singular point
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DOI: 10.1134/s0012266117060118
Abstract: For a generalized system of the Cauchy–Riemann type with complex conjugation whose coefficients admit a strong singularity on a circle and a weak singularity at a point, we find an integral representation of the general… read more here.
Keywords: riemann type; general solution; cauchy riemann; representation general ... See more keywords
The General Solution of Differential Equations with Caputo-Hadamard Fractional Derivatives and Noninstantaneous Impulses
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DOI: 10.1155/2017/3094173
Abstract: Based on some recent works about the general solution of fractional differential equations with instantaneous impulses, a Caputo-Hadamard fractional differential equation with noninstantaneous impulses is studied in this paper. An equivalent integral equation with some… read more here.
Keywords: hadamard fractional; general solution; differential equations; caputo hadamard ... See more keywords
The General Solution of Quaternion Matrix Equation Having η-Skew-Hermicity and Its Cramer’s Rule
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DOI: 10.1155/2019/7939238
Abstract: We determine some necessary and sufficient conditions for the existence of the η-skew-Hermitian solution to the following system AX-(AX)η⁎+BYBη⁎+CZCη⁎=D,Y=-Yη⁎,Z=-Zη⁎ over the quaternion skew field and provide an explicit expression of its general solution. Within the… read more here.
Keywords: quaternion; general solution; cramer rule; solution ... See more keywords