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Solitons and singular solitons for the Gardner–KP equation

Applied Mathematics and Computation, 2008
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Talbot solitons

Optics Letters, 2008
We propose a new type of scalar wave-mixing optical solitons, Talbot solitons. The soliton consists of sinusoidal and uniform components that are mutually coherent and jointly trapped in one direction. The intensity structure of the soliton oscillates in the propagation direction as a result of the linear Talbot effect and periodic nonlinear energy ...
Oren, Cohen   +5 more
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Cavity Solitons

2013
In this chapter we describe the topic of cavity solitons in the framework of the general area of optical pattern formation. We illustrate how one can generate and control them; we compare them with standard spatial solitons and emphasize the special properties of their motion under the action of phase or amplitude gradients in the driving field.
L. A. Lugiato   +9 more
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Dressed Solitons and Soliton Chaos

1994
Soliton-bearing dynamics perturbed by spatially quasiperiodic on-site potentials show rich and fascinating behavior. Concentrating on solitary solutions we show that the relevant parameter is the ratio between the spatial width of the soliton and a typical wavelength of the potential. In the long-wavelength limit solitons behave like particles governed
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-soliton solution and the Hirota condition of a (2+1)-dimensional combined equation

Mathematics and Computers in Simulation, 2021
Wen-Xiu Ma
exaly  

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