We consider the flow being a superposition of random waves and describe the evolution of the spectrum of the passive scalar in the leading (fourth) order with respect to the wave amplitudes. We find that wave turbulence can produce an exponential growth of the passive scalar fluctuations when either both solenoidal and potential components are present in the flow or there are potential waves wi...

Exact reflection and transmission coefficients for supersymmetric shapeinvariant potentials barriers are calculated by an analytical continuation of the asymptotic wave functions obtained via the introduction of new generalized ladder operators. The general form of the wave function is obtained by the use of the F(−∞,+∞)-matrix formalism of Fröman and Fröman which is related to the evolution of...

In this paper, based on the known first integral method, we try to seek the traveling wave solutions of several nonlinear evolution equations. As a result, some exact travelig wave solutions and solitary solutions for Whitham-Broer-Kaup (WBK) equations, Gardner equation, Boussinesq-Burgers equations, nonlinear schrodinger equation and mKDV equation are established successfully. Key–Words: First...

Unidirectional random waves generated by a wavemaker in a 300-mlong wave tank are investigated experimentally. Spatial evolution of numerous statistical wave field parameters is studied. It is found that the frequency spectrum of the wave field undergoes significant variation in the course of its evolution along the tank; the values of all statistical wave parameters are strongly related to the...

The quantum trajectory dynamics is extended to the wave function evolution in imaginary time. For a nodeless wave function a simple exponential form leads to the classical-like equations of motion of trajectories, representing the wave function, in the presence of the momentum-dependent quantum potential in addition to the external potential. For a Gaussian wave function this quantum potential ...

A gravitational wave signal carries information about an astrophysical source, a time varying quantity that has to be analyzed in the time frequency domain. There are varieties of transforms that can be applied to understand the complex evolution time-varying frequencies and chirps. This paper discusses various techniques of transforms that can be applied to various categories of this problem t...

We study the influence of third-order dispersion effects on the propagation of an incoherent nonlinear wave in an optical fiber system. The wave spectrum is shown to exhibit a highly asymmetric deformation characterized by a lateral spectral shoulder and the subsequent formation of an unexpected constant spectral pedestal. A kinetic approach to the problem reveals the existence of an invariant ...

In this paper, we established traveling wave solutions of the nonlinear evolution equation. The sine-cosine method was used to construct travelling wave solutions of the Fitzhugh-Nagumo equation and Cahn-Allen equation. Graphical interpretation shows that obtained results include periodic and Soliton wave solutions. It is also shown that for α =−1, solutions of Fitzhugh-Nagumo equation coincide...

Interatrial block is an abnormally delayed atrial activation, characterized at ECG by prolonged P-wave duration (more than 110 ms), irrespective of morphology. We report the case of a patient with acute decompensated severe congestive heart failure, that at hospital admission showed a prolonged P-wave, which reverted after diuretic therapy. The dynamic change of the atrial P-wave correlates wit...

We recalculate the pion electromagnetic form factor based on the pertur-bative QCD formalism that includes the Sudakov resummation. We take into account the evolution of the pion wave function in b, which represents the transverse extent of the pion. An infrared enhancement is observed when 1/b approaches Λ QCD. We propose to freeze the evolution of the wave function at some scale above Λ QCD ,...