Inelastic Interaction of Double-Valley Dark Solitons for the Hirota Equation

2021 ◽  
Vol 38 (9) ◽  
pp. 090201
Author(s):  
Xiao-Man Zhang ◽  
Yan-Hong Qin ◽  
Li-Ming Ling ◽  
Li-Chen Zhao
Keyword(s):  
Inelastic Interaction ◽  
Hirota Equation ◽  
Dark Solitons

Novel localized wave interaction phenomena and dynamics in the generalized discrete Hirota equation via the generalized (2,N − 2)-fold Darboux transformation

2019 ◽  
Vol 33 (17) ◽  
pp. 1950192 ◽  
Author(s):  
Hao-Tian Wang ◽  
Xiao-Yong Wen ◽  
Yaqing Liu
Keyword(s):  
Darboux Transformation ◽  
Wave Interaction ◽  
Inelastic Interaction ◽  
Discrete Version ◽  
The Novel ◽  
Spectral Parameters ◽  
Small Noise ◽  
Hirota Equation ◽  
Interaction Solutions ◽  
Dynamical Behaviors

We investigate the generalized discrete Hirota equation, which is an integrable discrete version of Hirota equation. The generalized [Formula: see text]-fold Darboux transformation (i.e. generalized [Formula: see text]-fold Darboux transformation when [Formula: see text] with two spectral parameters) is presented to derive the novel localized wave interaction solutions. Moreover, some inelastic interaction evolution phenomena of rogue wave and breather are studied graphically. Numerical simulations are used to explore the dynamical behaviors of certain localized wave interaction solutions, which show that their evolutions are stable against a small noise. The results obtained in this paper can be used to find the interaction properties of localized nonlinear waves in nonlinear optics and relevant fields.

Spatial resolution of X-ray microanalysis in thin foils

1978 ◽  
Vol 36 (1) ◽  
pp. 544-545
Author(s):  
R. Hutchings ◽  
I.P. Jones ◽  
M.H. Loretto ◽  
R.E. Smallman
Keyword(s):  
Spatial Resolution ◽  
Electron Probe ◽  
Beam Divergence ◽  
Inelastic Interaction ◽  
Specimen Thickness ◽  
High Current ◽  
Beam Spreading ◽  
X Ray ◽  
Thin Foils ◽  
Complex Calculation

There is increasing interest in X-ray microanalysis of thin specimens and the present paper attempts to define some of the factors which govern the spatial resolution of this type of microanalysis. One of these factors is the spreading of the electron probe as it is transmitted through the specimen. There will always be some beam-spreading with small electron probes, because of the inevitable beam divergence associated with small, high current probes; a lower limit to the spatial resolution is thus 2αst where 2αs is the beam divergence and t the specimen thickness.In addition there will of course be beam spreading caused by elastic and inelastic interaction between the electron beam and the specimen. The angle through which electrons are scattered by the various scattering processes can vary from zero to 180° and it is clearly a very complex calculation to determine the effective size of the beam as it propagates through the specimen.

Anti-dark solitons in a single mode fiber laser

2021 ◽  
Vol 395 ◽  
pp. 127226
Author(s):  
Jun Guo ◽  
Xiao Hu ◽  
Jie Ma ◽  
Luming Zhao ◽  
Deyuan Shen ◽  
...  
Keyword(s):  
Fiber Laser ◽  
Single Mode ◽  
Single Mode Fiber ◽  
Dark Solitons

Dark solitons in weakly saturable nonlinear media

1997 ◽  
Vol 55 (1) ◽  
pp. 1221-1224 ◽  
Author(s):  
Yijiang Chen
Keyword(s):  
Nonlinear Media ◽  
Dark Solitons

scholarly journals Stability analysis and attractor dynamics of three-dimensional dark solitons with localized dissipation

2021 ◽  
Vol 103 (4) ◽  
Author(s):  
Christian Baals ◽  
Alexandre Gil Moreno ◽  
Jian Jiang ◽  
Jens Benary ◽  
Herwig Ott
Keyword(s):  
Stability Analysis ◽  
Three Dimensional ◽  
Dark Solitons ◽  
Attractor Dynamics

scholarly journals Light Confinement with Structured Beams in Gold Nanoparticle Suspensions

Photonics ◽  
2021 ◽  
Vol 8 (6) ◽  
pp. 221
Author(s):  
Argelia Balbuena Balbuena Ortega ◽  
Felix E. Torres-González ◽  
Valentin López López Gayou ◽  
Raul Delgado Delgado Macuil ◽  
Gaetano Assanto ◽  
...  
Keyword(s):  
Colloidal Suspension ◽  
Laser Wavelength ◽  
Gaussian Beams ◽  
Optical Vortices ◽  
Complex Structures ◽  
Plasmonic Resonance ◽  
Dark Solitons ◽  
Experimental Campaign ◽  
Nanoparticle Suspensions ◽  
Light Beams

We carry out an experimental campaign to investigate the nonlinear self-defocusing propagation of singular light beams with various complex structures of phase and intensity in a colloidal suspension of gold nanoparticles with a plasmonic resonance near the laser wavelength (532nm). Studying optical vortices embedded in Gaussian beams, Bessel vortices and Bessel-cosine (necklace) beams, we gather evidence that while intense vortices turn into two-dimensional dark solitons, all structured wavepackets are able to guide a weak Gaussian probe of different wavelength (632.8 nm) along the dark core. The probe confinement also depends on the topological charge of the singular pump.

Dynamics of dark solitons

1994 ◽  
Vol 4 (8-9) ◽  
pp. 1745-1758 ◽  
Author(s):  
Yuri S. Kivshar ◽  
Xiaoping Yang
Keyword(s):  
Dark Solitons

scholarly journals The decay and collisions of dark solitons in superfluid Fermi gases

2012 ◽  
Vol 14 (2) ◽  
pp. 023044 ◽  
Author(s):  
R G Scott ◽  
F Dalfovo ◽  
L P Pitaevskii ◽  
S Stringari ◽  
O Fialko ◽  
...  
Keyword(s):  
Fermi Gases ◽  
Dark Solitons ◽  
Superfluid Fermi
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