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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The classes of exact multi line soliton, periodic solutions and solutionswith functional parameters, with constant asymptotic values at infinityu|_{xi^2+eta^2->infty}->-epsilon, for the hyperbolic and elliptic versions ofthe Nizhnik-Veselov-Novikov (NVN) equation via dibar-dressing method ofZakharov and Manakov were constructed. At fixed time these solutions areexactly solvable potentials correspondingly for one-dimensional perturbedtelegraph and two-dimensional stationary Schroedinger equations. Physicalmeaning of stationary states of quantum particle in exact one line and two linesoliton potential valleys was discussed. In the limit epsilon->0 exact specialsolutions u^{1}, u^{2} (line solitons and periodic solutions) were found whichsum u^{1}+u^{2}(linear superposition) is also exact solution of NVN equation.

New exact multi line soliton and periodic solutions with constant  asymptotic values at infinity of the NVN integrable nonlinear evolution  equation via dibar-dressing method