In this article we show that the large time asymptotics for the Grinevich–Zakharov rational solutions of the Novikov–Veselov equation at positive energy (an analog of KdV in 2 + 1 dimensions) is given by a finite sum of localized travel waves (solitons)....
T. Wave-equation traveltime inversion. Geophysics 56, 645–653 (1991). Article ADS Google Scholar Fichtner, A., Bunge, H.-P. & Igel, H. The adjoint method in seismology–I. Theory. Phys. Earth Planet. Inter. 157, 86–104 (2006). Article ADS MATH Google Scholar Fichtner, A., ...
As a result, the system’s Hamiltonian is no longer Hermitian, that is H* ≠ HT, and as such allows for two distinct variants of time reversal symmetry: the conventional one using complex conjugation (equation (3)), and a different one relying instead on transposition: $${\mathcal{...
We then run a similar shader on the front faces but enable subtractive blending using Equation 1. Furthermore, to get the entry point of the ray, we also output into the RGB channel the texture-space coordinates of each fragment generated for the front faces....
a Padé expansion of the matrix exponential solution of the equation of motion is constructed by mixing the diagonal and sub-diagonal expansions. An efficient time-stepping scheme is designed where systems of equations, similar in complexity to the standard Newmark method, are solved recursively. It...
Speed, distance, time formula (equation) and description. What isdistanceformula? Speed - S, distance - D, time- T. S = D / TT = D / SD = T * S John:2020-02-01 05:11:38 Measurement of speed, time, and distance are eminent in life. We want to travel, to reach distant poin...
Boundary and Distributed Controllability of the Damped Wave Equation: Reduction of Control Time that the system is controllable in a time Twhich is equal to twice the time it takes for a wave to travel between the ends of the interval [0,a... MA Shubov,CF Martin - 《Journal of Mathemati...
Traveling fronts have been extensively studied since the last decade, one can refer to [2,3,12,40] and references therein for the study of planar traveling fronts to the following autonomous reaction–diffusion equation (1.1) in one or multidimensional space. Recently, the study on nonplanar tr...
Let us first review the general map and master equation governing classical–quantum dynamics. The classical degrees of freedom are described by a differential manifold\({{{\mathcal{M}}}\)and we shall generically denote elements of the classical space byz. For example, we could take the classi...
Discrete choice model is adopted to analyze the travel choice behavior of bus passengers, and the utility function of travel choice under different in-vehicle crowding degrees could be expressed as Equation (1).(1)Yi=β0+β1Ci+β2Tiwhere, Yi denotes the utility of passenger travel choice at...