A new integrable (2+1)-dimensional nonlocal nonlinear Schrödinger equation is proposed. The N-soliton solution is given by Gram type determinant. It is found that the localized N-soliton solution has interesting interaction behavior which shows change of amplitude of localized pulses after collisions .

A dispersion-managed optical system with stepwise periodic variation of dispersion is studied in the framework of a path-averaged Gabitov-Turitsyn equation. The soliton solution is obtained by means of iterating the path-averaged equation. The dependence of soliton parameters on dispersion map strength is investigated, together with the oscillating tails of the soliton.

Stochastic dynamics o f a soliton in a long optical fiber is analysed within the framework of the nonlinear Schr6dinger equation. It is shown that in the case of periodic perturbations describing, e.g. sound propagation along a fiber, adiabatic dynamics of a soliton may be stochastic, and the condition for this stochastic motion is obtained. In the case of random perturbations we obtain the sol...

Abstract The nonlinear equation is obtained describing the dynamics of wave structures in dusty plasma above illuminated surface Moon case low frequencies and pancake-like shape packet direction along external magnetic field. This modified Zakharov – Kuznetsov equation. analytical formula for one-dimensional soliton solution derived. analysis stability was performed.

A narrow resonance peak was observed at 1.54±0.01 GeV/c as an exotic baryon with strangeness S = +1 in the γ + n → K +K− + n reaction on C. The new state have a width smaller than 0.025 GeV/c and a Gaussian significance of 4.6σ. It can not be interpreted as three quark state and is consistent with the lightest member of an antidecuplet of baryons predicted by the chiral soliton model.

Based on symbolic manipulation program Maple and using Riccati equation mapping method several explicit exact solutions including kink, soliton-like, periodic and rational solutions are obtained for (2+1)-dimensional variable coefficient Broer-Kaup system in quite a straightforward manner. The known solutions of Riccati equation are used to construct new solutions for variable coefficient Broer...

We show that the same special solution of focusing nonlinear Schr\"{o}dinger equation has been shown to arise in a certain near-field/large-order limit from soliton and Peregrine-like rogue wave solutions actually arises universally an arbitrary background when subjected sequence iterated B\"{a}cklund transformations.

The solution to the Davey–Stewartson I equation is analyzed to show that the resonance between periodic soliton and growing-and-decaying mode exists. Under the quasi-resonant condition, the mode develops first in the one side region of the periodic soliton. The periodic soliton is accelerated as a result of the growth and decay of the mode existed in the region and the wave field shifts to the ...

The Darboux–Dressing Transformations developed in [1] are here applied to construct soliton solutions for a class of boomeronic–type equations. The vacuum (i.e. vanishing) solution and the generic plane wave solution are both dressed to yield one soliton solutions. The formulae are specialised to the particularly interesting case of the resonant interaction of three waves, a well-known model wh...

We investigated the properties of pulse propagation on nonlinear traveling-wave field effect transistors (TW-FET) to develop a method for amplifying short electrical pulses. TW-FETs are a special type of FET whose electrodes are employed not only as electrical contacts but also as transmission lines. Due to the presence of electromagnetic couplings between the gate and drain lines, two differen...