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...
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Veröffentlicht in: | Nonlinear dynamics 2023-03, Vol.111 (5), p.4645-4656 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
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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. |
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ISSN: | 0924-090X 1573-269X |
DOI: | 10.1007/s11071-022-08045-7 |