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N‐Lump to the (2+1)‐Dimensional Variable‐Coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada Equation

Author

Listed:
  • Junjie Li
  • Jalil Manafian
  • Aditya Wardhana
  • Ali J. Othman
  • Ismail Husein
  • Mohaimen Al-Thamir
  • Mostafa Abotaleb

Abstract

In this research, the (2 + 1)‐dimensional (D) variable‐coefficient (VC) Caudrey–Dodd–Gibbon–Kotera–Sawada model used in soliton hypothesis and implemented by operating the Hirota bilinear scheme is studied. A few modern exact analytical outcomes containing interaction between a lump‐two kink soliton, interaction between two‐lump, the interaction between two‐lump soliton, lump‐periodic, and lump‐three kink outcomes for the (2 + 1)‐D VC Caudrey–Dodd–Gibbon–Kotera–Sawada equation by Maple Symbolic packages are obtained. By employing Hirota’s bilinear technique, the extended soliton solutions according to bilinear frame equation are received. For this model, the contemplated model can be got by multi‐D binary Bell polynomials (bBPs). In addition, the analytical analysis of the high‐order soliton outcomes to present the discipline of outcomes. The effect of the free parameters on the behavior of acquired figures of a few obtained solutions for the nonlinear rational exact cases was also discussed. The above technique could also be employed to get exact solutions for other nonlinear models in physics, applied mathematics, and engineering.

Suggested Citation

  • Junjie Li & Jalil Manafian & Aditya Wardhana & Ali J. Othman & Ismail Husein & Mohaimen Al-Thamir & Mostafa Abotaleb, 2022. "N‐Lump to the (2+1)‐Dimensional Variable‐Coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada Equation," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:4383100
    DOI: 10.1155/2022/4383100
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    References listed on IDEAS

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    1. Hong-Yu Wu & Jin-Xi Fei & Zheng-Yi Ma & Jun-Chao Chen & Wen-Xiu Ma, 2020. "Symmetry Breaking Soliton, Breather, and Lump Solutions of a Nonlocal Kadomtsev–Petviashvili System," Complexity, Hindawi, vol. 2020, pages 1-13, March.
    2. Wen-guang Cheng & Biao Li & Yong Chen, 2014. "Bell Polynomials Approach Applied to (2 + 1)-Dimensional Variable-Coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada Equation," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, October.
    3. Baoyong Guo & Huanhe Dong & Yong Fang, 2019. "Lump Solutions and Interaction Solutions for the Dimensionally Reduced Nonlinear Evolution Equation," Complexity, Hindawi, vol. 2019, pages 1-9, October.
    4. Ahmet Erülgen & Husam Rjoub & Ahmet Adalıer, 2020. "Bank Characteristics Effect on Capital Structure: Evidence from PMG and CS-ARDL," JRFM, MDPI, vol. 13(12), pages 1-13, December.
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