English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

We develop the theoretical procedures for shifting the frequency of a singlesoliton and of a sequence of solitons of the nonlinear Schr\"odinger equation.The procedures are based on simple transformations of the soliton pattern inthe Fourier domain and on the shape-preserving property of solitons. Thesetheoretical frequency shifting procedures are verified by numerical simulationswith the nonlinear Schr\"odinger equation using the split-step Fourier method.In order to demonstrate the use of the frequency shifting procedures, twoimportant applications are presented: (1) stabilization of the propagation ofsolitons in waveguides with frequency dependent linear gain-loss; (2) inductionof repeated soliton collisions in waveguides with weak cubic loss. The resultsof numerical simulations with the nonlinear Schr\"odinger model are in verygood agreement with the theoretical predictions.

Frequency shifting for solitons based on transformations on the Fourier domain and applications