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Hamiltonian Monte Carlo (HMC) sampling methods provide a mechanism for defining distant proposals with high acceptance… (More)

A new type of stochastic differential equation, called the backward stochastic differentil equation (BSDE), where the value of… (More)

The Peregrine soliton is a localized nonlinear structure predicted to exist over 25 years ago, but not so far experimentally… (More)

We discuss the early history of an important field of ‘‘sturm and drang’’ in modern theory of nonlinear waves. It is demonstrated… (More)

Optical fiber transmission is impacted by linear and nonlinear impairments. We study the use of digital backpropagation (BP) in… (More)

Fluid models of gas discharges require the input of transport coefficients and rate coefficients that depend on the electron… (More)

In this article we analyze the lattice Boltzmann equation (LBE) by using the asymptotic expansion technique. We first relate the… (More)

We study the numerical solution of the time-dependent Gross-Pitaevskii equation (GPE) describing a Bose-Einstein condensate (BEC… (More)

The propagation of pulses in ideal nonlinear optical fibers without loss is governed by the nonlinear Schrrdinger equation (NLS… (More)

In this paper we describe Bäcklund transformations and hierarchies of exact solutions for the fourth Painlevé equation (PIV) dw… (More)