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We investigate exact nonlinear waves on surfaces locally approximating the rotating sphere for two-dimensional inviscid incompressible flow. Our first system corresponds to a beta-plane approximation at the equator and the second to a gamma…

Fluid Dynamics · Physics 2024-11-20 Nick Pizzo , Rick Salmon

In this paper, we have considered how to detect the processes of plane gravitational waves colliding. The degenerate Ferrari-Ibanez solution describes the collision of plane gravitational waves with aligned linear polarization, and the…

General Relativity and Quantum Cosmology · Physics 2019-09-27 Dongdong Wei , Xinhe Meng , Bin Wang

The investigation of strings and M-theory involves the understanding of various BPS solitons which in a certain approximation can be thought of as solutions of ten- and eleven-dimensional supergravity theories. These solitons have a brane…

Differential Geometry · Mathematics 2007-05-23 G. Papadopoulos

It is shown that the dynamical evolution of linear perturbations on a static space-time is governed by a constrained wave equation for the extrinsic curvature tensor. The spatial part of the wave operator is manifestly elliptic and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 O. Sarbach , M. Heusler , O. Brodbeck

In the context of the AdS/CFT correspondence we discuss the gravity dual of a high energy collision in a strongly coupled ${\cal N}=4$ SYM gauge theory. We suggest a setting in which two colliding objects are made of non-dynamical heavy…

High Energy Physics - Phenomenology · Physics 2008-11-26 Shu Lin , Edward Shuryak

In this paper we present the power series solution of the Klein-Gordon equation in the spacetime background of a gravitational wave with amplitude that decays with distance from the source. The resulting solution describes the interaction…

General Relativity and Quantum Cosmology · Physics 2023-06-09 Jesse Elder , Todd Fugleberg

We construct holographic superfluid flow solutions in a five-dimensional theory that arises as a consistent truncation of low energy type IIB string theory. We then study the phase diagram of these systems in terms of the temperature and…

High Energy Physics - Theory · Physics 2012-04-05 Daniel Arean

We find an infinite class of non-supersymmetric multi-center solutions to the STU model in five-dimensional ungauged supergravity coupled to two vector multiplets. The solutions are obtained by solving a system of linear equations on a…

High Energy Physics - Theory · Physics 2015-06-17 Benjamin E. Niehoff

We study flows of non-supersymmetric attractor black holes in the context of gauge/gravity correspondence. As our bulk theory, we consider the Einstein-Maxwell-Dilaton system with a single dilaton field coupled to two Maxwell fields and…

High Energy Physics - Theory · Physics 2022-09-28 Norihiro Iizuka , Akihiro Ishibashi , Kengo Maeda

We present a method for solving BPS equations obtained in the collective-field approach to matrix models. The method enables us to find BPS solutions and quantum excitations around these solutions in the one-matrix model, and in general for…

High Energy Physics - Theory · Physics 2009-11-11 Ivan Andric , Larisa Jonke , Danijel Jurman

This paper is concerned with the traveling wave solutions for integro-difference systems of higher order. By using Schauder fixed point theorem, the existence of traveling wave solutions is reduced to the existence of generalized upper and…

Dynamical Systems · Mathematics 2014-02-19 Guo Lin

The kinetic theory of soliton gases (SG) is used to develop a solvable model for wave-mean field interaction in integrable turbulence. The waves are stochastic soliton ensembles that scatter off a critically dense SG or soliton condensate…

Pattern Formation and Solitons · Physics 2025-08-18 T. Congy , G. A. El , M. A. Hoefer

In this work, we obtained exact solutions of Einstein's field equations for plane symmetric cosmological models by assuming that thy admit conformal motion. The space-time geometry of these solutions is found to be nonsingular, non-vacuum…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Ragab M. Gad , Awatif Al-Jedani , Shahad T. Alsulami

We explicitly solve the classical equations of motion for strings in backgrounds obtained as non-abelian T-duals of a homogeneous isotropic plane-parallel wave. To construct the dual backgrounds, semi-abelian Drinfeld doubles are used which…

High Energy Physics - Theory · Physics 2014-03-20 Ladislav Hlavaty , Ivo Petr

The outcome of this paper was a shape of the interaction of two oscillating bubbles. This was done to express the secondary Bjerknes force using the Maxwell equations for a liquid. These subsequent equations were written for the quantities…

General Physics · Physics 2024-03-20 Ion Simaciu , Gheorghe Dumitrescu , Zoltan Borsos , Viorel Drafta

We present exact solutions of the incompressible Navier-Stokes equations in a background linear shear flow. The method of construction is based on Kelvin's investigations into linearized disturbances in an unbounded Couette flow. We obtain…

Astrophysics of Galaxies · Physics 2017-10-13 Nishant K. Singh , S. Sridhar

We study the noise correlations of one-dimensional binary Bose mixtures, as a probe of their quantum phases. In previous work, we found a rich structure of many-body phases in such mixtures, such as paired and counterflow superfluidity.…

Quantum Gases · Physics 2010-08-20 Anzi Hu , L. Mathey , Carl J. Williams , Charles W. Clark

Ultracold condensates provide a unique platform for exploring soliton physics. Motivated by the recent experiments realizing the sine-Gordon model in a split one-dimensional (1D) BEC, we demonstrate that this system naturally supports…

Quantum Gases · Physics 2025-07-10 Zeyu Rao , Xiaoshui Lin , Jingsong He , Guangcan Guo , Ming Gong

The contribution presents a brief summary of the Gauge/Gravity approach to the study of hydrodynamic flow of the quark-gluon plasma formed in heavy-ion collisions, in a boost-invariant setting (Bjorken flow). Considering the ideal case of a…

High Energy Physics - Phenomenology · Physics 2014-11-20 R. A. Janik , Robi Peschanski

Six exact solutions are obtained in the general scalar-tensor theory of gravity related to spatially homogeneous wave-like models of the Universe. Wave-like space-time models allow the existence of privileged coordinate systems where the…

General Relativity and Quantum Cosmology · Physics 2020-10-06 K. Osetrin , A. Filippov , E. Osetrin