Novel y-type and hybrid solutions for the (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation

In this paper, the research object is ( 2 + 1 ) -dimensional Korteweg–de Vries–Sawada–Kotera–Ramani (KdVSKR) equation. After adding new constraint, new solutions which contain y -type molecules are obtained. The process of lump molecules and y -type molecules before and after the collision is studie...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Nonlinear dynamics 2023-03, Vol.111 (5), p.4645-4656
Hauptverfasser: Ma, Hongcai, Gao, Yidan, Deng, Aiping
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, the research object is ( 2 + 1 ) -dimensional Korteweg–de Vries–Sawada–Kotera–Ramani (KdVSKR) equation. After adding new constraint, new solutions which contain y -type molecules are obtained. The process of lump molecules and y -type molecules before and after the collision is studied by long-wave limit method, and the kinetic behavior analysis is given. The interactions between y -type molecules and resonant soliton molecules, y -type molecules and breather molecules are obtained by combining velocity resonance method and mode resonance method, respectively. Finally, a novel hybrid solution containing lump molecule, breather molecule and y -type molecule is given, and the kinetic behavior is shown.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-022-08045-7