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Nonlinear superposition among lump soliton, stripe solitons and other nonlinear localized waves of the (2+1)-dimensional cpKP-BKP equation

Author

Listed:
  • Li, Yan
  • Hao, Xiazhi
  • Yao, Ruoxia
  • Xia, Yarong
  • Shen, Yali

Abstract

The existence of nonlinear superposition between lump, stripe soliton, Y-shaped soliton and breather waves of the (2+1)-dimensional combined pKP-BKP equation is explored. These nonlinear superpositions present interesting interaction red modes in nonlinear systems. The obtained special structures among lump waves, breather waves, stripe waves and Y-shaped soliton show rare attribute that the single lump does not interact with or always lies on the other localized waves. Furthermore, by using the nonlinear superposition equations and velocity resonance mechanisms, the molecular bound states among lump, stripe solitons, breather waves are formed. Such solutions provide brand new insights into the areas of plasma physics, hydrodynamics and nonlinear optics.

Suggested Citation

  • Li, Yan & Hao, Xiazhi & Yao, Ruoxia & Xia, Yarong & Shen, Yali, 2023. "Nonlinear superposition among lump soliton, stripe solitons and other nonlinear localized waves of the (2+1)-dimensional cpKP-BKP equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 208(C), pages 57-70.
    • Handle: RePEc:eee:matcom:v:208:y:2023:i:c:p:57-70
    DOI: 10.1016/j.matcom.2023.01.019
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    References listed on IDEAS

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    1. Tariq, Kalim U. & Wazwaz, Abdul-Majid & Javed, Rizwan, 2023. "Construction of different wave structures, stability analysis and modulation instability of the coupled nonlinear Drinfel’d–Sokolov–Wilson model," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    2. Allan Boardman, 1997. "Solitons light the way," Nature, Nature, vol. 387(6636), pages 854-855, June.
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