![Loading...](https://link.springer.com/static/c4a417b97a76cc2980e3c25e2271af3129e08bbe/images/pdf-preview/spacer.gif)
-
Article
Symmetric and antisymmetric nonlinear modes supported by dual local gain in lossy lattices
We introduce a discrete lossy system, into which a double “hot spot” (HS) is inserted, i.e., two mutually symmetric sites carrying linear gain and cubic nonlinearity. The system can be implemented as an array ...
-
Article
Solitons pinned to hot spots
We generalize a recently proposed model based on the cubic complex Ginzburg-Landau (CGL) equation, which gives rise to stable dissipative solitons supported by localized gain applied at a “hot spot” (HS), in ...
-
Article
Spatial solitons supported by localized gain in nonlinear optical waveguides
We introduce a modification of the complex Ginzburg-Landau (CGL) equation with background linear loss and locally applied gain. The equation appertains to laser cavities based on planar waveguides, and also to...
-
Article
A novel class of model constitutive laws in nonlinear elasticity: Construction via Loewner theory
Using a solitonic connection, we show that the class of infinitesimal Bäcklund transformations originally introduced by Loewner in 1952 in a gasodynamic context results in physically interesting nonlinear mode...