Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Special types of solitons and breather molecules for a (2+1)-dimensional fifth-order KdV equation - MaRDI portal

Special types of solitons and breather molecules for a (2+1)-dimensional fifth-order KdV equation (Q2213875)

From MaRDI portal
scientific article
Language Label Description Also known as
English
Special types of solitons and breather molecules for a (2+1)-dimensional fifth-order KdV equation
scientific article

    Statements

    Special types of solitons and breather molecules for a (2+1)-dimensional fifth-order KdV equation (English)
    0 references
    3 December 2020
    0 references
    The subject considered in the paper is the fifth member of the hierarchy of integrable equations of the Kadomtsev-Petviashvili type (a.k.a. the KP5 equation), with the temporal variable and two coordinates. The Lax pairs and the bilinear form for this equation are used to produce multi-soliton solutions. In particular, exact bound-state solutions are identified, in the form of ``soliton molecules'' (quasi-one-dimensional solitons being meant), ``breather molecules'', and breather-soliton bound states. Finally, interactions between the bound states are addressed too.
    0 references
    Kadomtsev-Petviashvili equations
    0 references
    Lax pair
    0 references
    bilinear form of integrable equations
    0 references
    soliton-soliton bound states
    0 references
    soliton-soliton interactions
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references

    Identifiers