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

A complete classification of compacton solutions is carried out for ageneralization of the Kadomtsev-Petviashvili (KP) equation involving nonlineardispersion in two and higher spatial dimensions. In particular, preciseconditions are given on the nonlinearity powers in this equation under which atravelling wave can be cut off to obtain a compacton. Numerous explicitexamples having various profiles are derived, including a quadratic function,powers of a cosine, and powers of Jacobi $\cn$ functions, all of which aresymmetric. The cosine and $\cn$ symmetric compactons have an anti-symmetriccounterpart. In comparison, explicit solitary waves of the generalized KPequation are found to have profiles given by a power of a sech and a reciprocalquadratic function. Kinematic properties of all of the different types ofcompactons and solitary waves are discussed, along with conservation laws ofthe generalized KP equation.

Nonlinearly dispersive KP equations with new compacton solutions