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/

Global: Zendy Tools annual

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

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We develop a general classification of the infinite number of families ofsolitons and soliton complexes in the one-dimensionalGross-Pitaevskii/nonlinear Schrodinger equation with a nonlinear latticepseudopotential, i.e., periodically modulated coefficient in front of the cubicterm, which takes both positive and negative local values. This model findsdirect implementations in atomic Bose-Einstein condensates and nonlinearoptics. The most essential finding is the existence of two branches of dipolesolitons (DSs), which feature an antisymmetric shape, essentially squeezed intoa single cell of the nonlinear lattice. This soliton species was not previouslyconsidered in nonlinear lattices. We demonstrate that one branch of the DSfamily (namely, the one which obeys the Vakhitov-Kolokolov criterion) isstable, while unstable DSs spontaneously transform into stable fundamentalsolitons (FSs). The results are obtained in numerical and approximateanalytical forms, the latter based on the variational approximation. Somestable bound states of FSs are found too.

Stable dipole solitons and soliton complexes in the nonlinear Schrodinger equation with periodically modulated nonlinearity