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

Due to higher-order Kaup-Newell (KN) system has more complex and diversesolutions than classical second-order flow KN system, the research on it hasattracted more and more attention. In this paper, we consider a higher-order KNequation with third order dispersion and quintic nonlinearity. Based on thetheory of the inverse scattering, the matrix Riemann-Hilbert problem isestablished. Through the dressing method, the solution matrix with simple zeroswithout reflection is constructed. In particular, a new form of solution isgiven, which is more direct and simpler than previous methods. In addition,through the determinant solution matrix, the vivid diagrams and dynamicanalysis of single soliton solution and two soliton solution are given indetail. Finally, by using the technique of limit, we construct the generalsolution matrix in the case of multiple zeros, and the examples of solutionsfor the cases of double zeros, triple zeros, single-double zeros anddouble-double zeros are especially shown.

A new form of general soliton solutions and multiple zeros solutions for a higher-order Kaup-Newell equation