Results 101 to 110 of about 240,101 (314)
On algebraic solutions of Lamé's differential equation
Journal of Differential Equations, 1981 In two previous papers [ 1, 21 we reconsidered and improved Klein’s method for establishing whether a given second order linear differential equation with rational function coefficients (over an algebraic curve) has a full set of algebraic solutions.
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Annals of Neurology, EarlyView.Objective Socioeconomic status (SES) and lifestyle activities (LA) are strongly related, and both are associated with dementia risk. We investigated the influence of SES and LA on brain atrophy and cognitive decline considering amyloid‐beta (Aβ) positron emission tomography and white matter hyperintensity (WMH) load.
Dario Bachmann +11 more
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AIMS MathematicsIn this work, the Extended Direct Algebraic Method (EDAM) is utilized to analyze and solve the fractional (2+1)-dimensional Conformable Broer-Kaup-Kupershmit System (CBKKS) and investigate different types of traveling wave solutions and study the soliton
Mohammad Alqudah +5 more
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Annalen der Physik, EarlyView.Applications of the Dressing Field Method are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory. Furthermore, a novel approach is proposed giving a unified description of fermionic matter fields and bosonic gauge fields: a Matter‐Interaction ...
Jordan François, L. Ravera
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An approximation technique for solving nonlinear oscillators
Journal of Low Frequency Noise, Vibration and Active ControlRecently, an approximation technique was presented for solving strong nonlinear oscillators modeled by second-order differential equations. Due to the arising of an algebraic complicity, the method fails to determine suitable solution of some important ...
Md Ashraful Huq, M Kamrul Hasan, MS Alam
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Counting coloured planar maps: differential equations
, 2015 We address the enumeration of q-coloured planar maps counted bythe number of edges and the number of monochromatic edges. We prove that the associated generating function is differentially algebraic,that is, satisfies a non-trivial polynomial ...
Mireille Bousquet-mélou +2 more
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On meromorphic solutions of algebraic differential equations [PDF]
Transactions of the American Mathematical Society, 1980 The Malmquist Theorem is generalized for equations of the type R ( z , w , w ′ , … , w ( n ) ) =
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Analytical Solutions of the Driven Time‐Dependent Jaynes–Cummings Model
Annalen der Physik, EarlyView.Following the great strides made in the last decade towards the control and tunability of physical parameters in cavity quantum electrodynamics, this study presents new solutions to the dynamics of the time‐dependent Jaynes–Cummings model with variable external classical fields acting on the two‐level system and the quantized field mode.
Antonio Vidiella‐Barranco +5 more
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Hamiltonian and recursion operators for a discrete analogue of the Kaup-Kupershmidt equation [PDF]
Open Communications in Nonlinear Mathematical PhysicsIn this paper we study the algebraic properties of a new integrable differential-difference equation. This equation can be seen as a deformation of the modified Narita-Itoh-Bogoyavlensky equation and has the Kaup-Kupershmidt equation in its continuous ...
Edoardo Peroni, Jing Ping Wang
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On the growth of solutions of algebraic differential equations [PDF]
Transactions of the American Mathematical Society, 1978 In this paper we determine estimates for the growth of both real-valued and complex-valued solutions of algebraic differential equations on an interval ( x 0 , + ∞ ) ({x_0}, + \infty ) .
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