We study Wave Maps from R2+1 to the hyperbolic plane H2 with smooth compactly supported initial data which are close to smooth spherically symmetric initial data with respect to some H1+μ, μ > 0. We show that such Wave Maps don’t develop singularities in finite time and stay close to the Wave Map extending the spherically symmetric data(whose existence is ensured by a theorem of Christodoulou-T...

The magnetostrictive guided wave sensor with a single induced winding cannot distinguish axially symmetric from non-axially symmetric features in a pipe, because it is impossible for the sensor to detect the non-axially symmetric mode waves. When we study the effect of the change of the magnetic field in the air zone for receiving the longitudinal guided wave mode, we find that the change of th...

Abstract We extend the treatment of quantum cosmology to a manifold with torsion. adopt model Einstein-Cartan-Sciama-Kibble compatible cosmological principle. The universe wave function is shown be subject . With vanishing energy-momentum tensor, evolution in semiclassical and classical regimes suggest two-stage inflationary process induced...

This is a study of singular solutions of the problem of traveling gravity water waves on flows with vorticity. We show that, for a certain class of vorticity functions, a sequence of regular waves converges to an extreme wave with stagnation points at its crests. We also show that, for any vorticity function, the profile of an extreme wave must have either a corner of 120◦ or a horizontal tange...

The phase diagram of the $(1 + 1)$-dimensional Gross-Neveu model is reanalyzed for (non-)zero chemical potential and temperature within mean-field approximation. By investigating momentum dependence bosonic two-point function, well-known second-order transition from $\mathbb{Z}_2$ symmetric to so-called inhomogeneous detected. In latter chiral condensate periodically varying in space translatio...

In this paper, Exp-function and (G′/G)expansion methods are presented to derive traveling wave solutions for a class of nonlinear space-time fractional differential equations. As a results, some new exact traveling wave solutions are obtained.

Fully localised solitary waves are travelling-wave solutions of the three-dimensional gravity-capillary water wave problem which decay to zero in every horizontal spatial direction. Their existence for finite depth has recently been established, and this article we present an theory infinite depth. The governing equations reduced a perturbation two-dimensional nonlinear Schr\"{o}dinger equation...

We consider the interaction between the Hermitian world, represented by a real delta-function potential −αδ(x), and the non-Hermitian world, represented by a PT-symmetric pair of delta functions with imaginary coefficients iβ(δ(x−L)− δ(x+L)). In the context of standard quantum mechanics, the effect of the introduction of the imaginary delta functions on the bound-state energy of the real delta ...