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We investigate generalizations of the Burgers and Burgers-Huxley equations. The investigations we offer focus attention mainly on presenting explict analytical solutions by means of relating these generalized equations to relativistic 1+1…

solv-int · Physics 2007-05-23 D. Bazeia

A study of a complete cosmological model based on an asymmetric scalar doublet represented by the classical and phantom scalar Higgs fields is carried out. At the same time, the assumption about the nonnegativity of the expansion rate of…

General Relativity and Quantum Cosmology · Physics 2021-04-05 Yu. G. Ignat'ev , I. A. Kokh

We consider the partial rate asymmetry in the inclusive decay modes b to s gamma and b to d gamma, concentrating on non-standard models with new charged Higgs interactions. We find that the charged Higgs contribution to the asymmetry for b…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ken Kiers , Amarjit Soni , Guo-Hong Wu

We consider the associated production of a scalar resonance with the standard model Higgs boson. We demonstrate via a realistic phenomenological analysis that couplings of such a resonance to the Higgs boson can be constrained in a…

High Energy Physics - Phenomenology · Physics 2017-08-24 Adrian Carmona , Florian Goertz , Andreas Papaefstathiou

We consider Randall-Sundrum(RS) model in generalized gravities and see that the localization of gravity happens in generic situations though its effectiveness depends on the details of the configuration. It is shown that RS picture is…

High Energy Physics - Theory · Physics 2007-05-23 Hyung Do Kim

Scalar sector offers a valuable avenue to explore its implications in the particle physics phenomenology for new physics and several model dependent phenomena. Two Higgs doublet models are among the promising models for such explorations.…

High Energy Physics - Phenomenology · Physics 2021-10-08 Tajdar Mufti , Touqeer Zahid

We study the special class of the exact solutions in cosmological models based on the Generalized Scalar-Tensor Gravity with non-minimal coupling of a scalar field to the Ricci scalar and to the Gauss-Bonnet scalar in 4D Friedmann universe…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Igor V. Fomin , Sergey V. Chervon

In this paper, on the basis of the Schauder type estimates and Campanato spaces, we prove the global existence of classical solutions for a generalized Cahn-Hilliard equation with biological applications.

Analysis of PDEs · Mathematics 2017-12-11 Ning Duan , Xiaopeng Zhao

Generalized differential forms are used in discussions of metric geometries and Einstein's vacuum field equations. Cartan's structure equations are generalized and applied. In particular flat generalized connections are associated with any…

Mathematical Physics · Physics 2022-06-14 D C Robinson

A vast literature on the theory and phenomenology of Two-Higgs-Doublet models (2HDM) exists since long. However, the present situation demands a revisit of some 2HDM properties. Now that a 125 GeV scalar resonance has been discovered at the…

High Energy Physics - Phenomenology · Physics 2016-09-21 Gautam Bhattacharyya , Dipankar Das

In the second work of this series, we analyse the connection between the availability of gas and the position of a region with respect to the spatially resolved main sequence (MS) relation. Following the procedure presented in Paper I we…

A five dimensional supersymmetric model is constructed which reduces to the one Higgs-doublet standard model at low energies. The radiative correction to the Higgs potential is finite and calculable, allowing the Higgs mass prediction of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yasunori Nomura

By casting the Yang-Mills-Higgs equations of an SU(2) theory in the form of the Ernst equations of general relativity, it is shown how the known exact solutions of general relativity can be used to give similiar solutions for Yang-Mills…

High Energy Physics - Theory · Physics 2009-10-28 Douglas Singleton

We study an optimization problem originated from the Grothendieck constant. A generalized normal equation is proposed and analyzed. We establish a correspondence between solutions of the general normal equation and its dual equation.…

Functional Analysis · Mathematics 2025-05-09 Naihuan Jing , Yibo Liu , Jiacheng Sun , Chengrui Zhao , Haoran Zhu

We derive a set of bilinear functional equations of Hirota type for the partition functions of the $sl(2)$ related integrable statistical models defined on a random lattice. These equations are obtained as deformations of the Hirota…

High Energy Physics - Theory · Physics 2007-05-23 Jorge Alfaro , Ivan Kostov

We summarize some (mostly geometric) facts underlying the relation between 2D integrable sigma models and generalized Gross-Neveu models, emphasizing connections to the theory of nilpotent orbits, Springer resolutions and quiver varieties.…

High Energy Physics - Theory · Physics 2024-10-30 Dmitri Bykov

Let $\lambda=(\lambda_1 \geqslant \ldots \geqslant \lambda_k > 0)$. For any $c$ Coxeter element of $\mathfrak{S}_{\lambda_1+k-1}$, we construct a bijection from fillings of $\lambda$ to reverse plane partitions. We recover two previous…

Combinatorics · Mathematics 2024-12-18 Benjamin Dequêne

We present a family of exactly-solvable generalizations of the Jaynes-Cummings model involving the interaction of an ensemble of SU(2) or SU(1,1) quasi-spins with a single boson field. They are obtained from the trigonometric…

Soft Condensed Matter · Physics 2011-05-12 J. Dukelsky , G. G. Dussel , C. Esebbag , S. Pittel

The dynamical symmetry algebra of the two-dimensional Dirac Hamiltonian with equal scalar and vector Smorodinsky-Winternitz potentials is constructed. It is the Higgs algebra, a cubic polynomial generalization of SU(2). With the help of the…

Quantum Physics · Physics 2009-11-19 Fu-Lin Zhang , Bo Fu , Jing-Ling Chen

This letter describes a completely-integrable system of Yang-Mills-Higgs equations which generalizes the Hitchin equations on a Riemann surface to arbitrary k-dimensional complex manifolds. The system arises as a dimensional reduction of a…

Mathematical Physics · Physics 2016-05-25 R. S. Ward