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

By using gauge transformations, we manage to obtain new solutions of(2+1)-dimensional Kadomtsev-Petviashvili(KP), Kaup-Kuperschmidt(KK) andSawada-Kotera(SK) equations from non-zero seeds. For each of the precedingequations, a Galilean type transformation between these solutions $u_2$ and thepreviously known solutions $u_2^{\prime}$ generated from zero seed is given. Wepresent several explicit formulas of the single-soliton solutions for $u_2$ and$u_2^{\prime}$, and further point out the two main differences of them underthe same value of parameters, i.e., height and location of peak line, which aredemonstrated visibly in three figures.

Solutions of the (2+1)-dimensional KP, SK and KK equations generated by gauge transformations from non-zero seeds