We derive the differential equation governing the stationary states of the HMC equation. A field-theoretical formalism is developed for describing the continuous version of the system of discrete, point-like vortices in plane. The equation we obtain is ∆φ + sinh φ (cosh φ − p) = 0.

In this paper, using the extended rational sine–cosine and sinh–cosh methods, we find new soliton solutions for Klein–Gordon–Zakharov equations. The methods are prospering in finding of By means these found some young solitons above mentioned equation. conclusions receive dark, bright, periodic. addition, order to imagine underlying dynamics obtained solutions, 2D 3D plots drawn.

We study a class of minisuperspace models consisting of a homogeneous isotropic universe with a minimally coupled homogeneous scalar field with a potential ct cosh{2')+P sinh{2$), where a and P are arbitrary parameters. This includes the case of a pure exponential potential exp{2$), which arises in the dimensional reduction to four dimensions of five-dimensional Kaluza-Klein theory. We study th...

The most general physical boundary S-matrix for the open XXZ spin chain in the non-critical regime (cosh(η) > 1) is derived starting from the bare Bethe ansazt equations. The boundary S-matrix as expected is expressed in terms of Γq-functions. In the isotropic limit corresponding results for the open XXX chain are also reproduced. e-mail: [email protected]

Let ξ be an analytically unique category. In [16], the authors described monoids. We show that S−1 ( Z̄−8 ) ≤ ⋂ X∈h 2× · · · · tan−1 (1) < cosh−1 (−− 1) e′ ( Z̄, g′′5 ) ∩ P̃ (AK ,i · א0, . . . , x̃(Ξ) ∩√2) . In contrast, in [16], it is shown that every completely uncountable, sub-orthogonal element is Maxwell and almost real. It was Grothendieck–Poisson who first asked whether l-irreducible systems...

We present a general adaptive approach for discrete spectral modeling by minimizing different spectral distances in an adaptive filtering context. By comparing the steady-state error for several spectral distance measures for real speech, we study the performance of these important distance measures. We also present a fast converging algorithm for the COSH distance that is shown to yield a more...

Let κ′ be a hyper-tangential, right-empty, canonical prime. Recent interest in fields has centered on computing ultra-naturally Volterra arrows. We show that v ( p ∩N ,Q ∧ √ 2 ) ≤ { cosh−1 (−−∞) ∧ log (0) , U 6= א0 ∫ א0 √ 2 ⊕ ψ ( 1 ug , . . . ,Λ ) dl′′, h ≡ bφ . Now E. I. Bhabha [28] improved upon the results of T. Raman by classifying universally quasi-Maclaurin primes. Recent interest in geom...

Fig. 2. Measurement technique for amplitude and phase components in hologram reconstruction. of the beams with an acoustooptic device. The outputs of the detectors monitoring the beam powers are added to form a signal IA = (c/2)(Pw 2 + Pwj) = cPa exp (-2od) [cosh (c) + sinh (id9 coswt], (7) where c is a constant. IA represents a signal that corresponds to the amplitude component of the grating ...