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 Plus annual

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

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We consider systems, which conserve the particle number and are described bySchr\"odinger equations containing complex nonlinearities. In the case ofcanonical systems, we study their main symmetries and conservation laws. Weintroduce a Cole-Hopf like transformation both for canonical and noncanonicalsystems, which changes the evolution equation into another one containingpurely real nonlinearities, and reduces the continuity equation to the standardform of the linear theory. This approach allows us to treat, in a unifyingscheme, a wide variety of canonical and noncanonical nonlinear systems, some ofthem already known in the literature. pacs{PACS number(s): 02.30.Jr, 03.50.-z,03.65.-w, 05.45.-a, 11.30.Na, 11.40.DwComment: 26 pages, no figures, to be appear in J. Phys. A: Math. Gen. (2002

Cole-Hopf-like transformation for Schrödinger equations containing complex nonlinearities