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Author:

Li, Lingfei (Li, Lingfei.) | Xie, Yingying (Xie, Yingying.) | Wang, Mancang (Wang, Mancang.)

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Abstract:

Starting with Hirota bilinear form of (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation, a class of lump solutions, a strip soliton, a pair of resonance solitons as well as the rogue wave have been obtained through symbolic computation. Firstly, two lump solutions are derived, consisting of six free parameters, while the other three accord with non-zero determinant condition which guarantee locality and analyticity for the solutions. Secondly, the interaction phenomenon between a lump wave and a stripe soliton is reflected. Interaction figures show that the lump wave can be absorbed by the stripe wave or separate from it. Thirdly, by a novel ansatz of hyperbolic function and quadratic function, a fresh transformation for the rogue wave and a pair of resonance solitons have been discovered, that a peak profiled rogue wave emerges from one of the resonance wave and transfers to another, and finally fades away. At the same time, numerical simulations are demonstrated to visualize the mechanism of the above solutions.

Keyword:

Caudrey-Dodd-Gibbon-Kotera-Sawada equation Hirota bilinear form Lump solution Rogue wave Soliton

Author Community:

  • [ 1 ] [Li, Lingfei]Northwest Univ, Sch Econ & Management, Xian 710127, Peoples R China
  • [ 2 ] [Wang, Mancang]Northwest Univ, Sch Econ & Management, Xian 710127, Peoples R China
  • [ 3 ] [Xie, Yingying]Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

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Source :

RESULTS IN PHYSICS

ISSN: 2211-3797

Year: 2020

Volume: 19

4 . 4 7 6

JCR@2020

4 . 4 7 6

JCR@2020

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 6

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 32

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