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Exact inflationary solutions [PDF]
We present a new class of exact inflationary solutions for the evolution of a universe with spatial curvature, filled with a perfect fluid, a scalar field with potential $V_{\pm}(\phi)=\lambda(\phi^2\pm\delta^2)^2$ and a cosmological constant $\Lambda ...
A. +11 more
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Some exact Bradlow vortex solutions
We consider the Bradlow equation for vortices which was recently found by Manton and find a two-parameter class of analytic solutions in closed form on nontrivial geometries with non-constant curvature.
Sven Bjarke Gudnason, Muneto Nitta
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In Search of Exact Solutions [PDF]
Many-body systems, such as electrons flowing in a superconductor, are among the most difficult theoretical problems to study. A new family of exactly solvable models may offer some answers.Comment: Report on paper Phys. Rev. Lett.
Heritier, Michel
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Exact solutions for pairing interactions [PDF]
The exact solution of the BCS pairing Hamiltonian was found by Richardson in 1963. While little attention was paid to this exactly solvable model in the remainder of the 20th century, there was a burst of work at the beginning of this century focusing on
Dukelsky, J., Pittel, S.
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This paper studies the bifurcations of the exact solutions for the time–space fractional complex Ginzburg–Landau equation with parabolic law nonlinearity.
Wenjing Zhu +3 more
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Cosmological Solutions of Integrable F(R) Gravity Models with an Additional Scalar Field
We consider F(R) cosmological models with a scalar field. For the R2 model in the spatially flat Friedmann–Lemaître–Robertson–Walker metric, the Ricci scalar R can smoothly change its sign during the evolution if and only if the scalar field is a phantom
Sergey Vernov, Vsevolod Ivanov
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New traveling wave exact solutions to the coupled Klein–Gordon system of equations
A system of coupled Klein–Gordon nonlinear partial differential equations are considered in this paper and several new families of exact solutions for this system are derived.
Subin P. Joseph
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Nonlinear Burgers equation with variable coefficients (BEVC) which involves mathematical physics in plasma and fluid dynamics and so on. Investigating the exact solutions of BEVC to show the different dynamics of wave phenomena becomes a hot topic both ...
Jianming Qi, Qinghao Zhu
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Riemann Problems and Exact Solutions for the p-System
In this paper, within the framework of the Method of Differential Constraints, the celebrated p-system is studied. All the possible constraints compatible with the original governing system are classified.
Natale Manganaro, Alessandra Rizzo
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Introduction/Objectives: Despite compelling evidence of clinical and economic benefits, adherence to colorectal cancer (CRC) screening remains low. Increasing public awareness through various outreach methods may improve screening uptake.
Martha E. Shepherd +3 more
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