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Investigating One‐, Two‐, and Triple‐Wave Solutions via Multiple Exp‐Function Method Arising in Engineering Sciences

Author

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  • Pengbo Wan
  • Jalil Manafian
  • Hajar Farhan Ismael
  • Sizar Abid Mohammed

Abstract

The multiple Exp‐function method is employed for searching the multiple soliton solutions for the new extended (3 + 1)‐dimensional Jimbo‐Miwa‐like (JM) equation, the extended (2 + 1)‐dimensional Calogero‐Bogoyavlenskii‐Schiff (eCBS) equation, the generalization of the (2 + 1)‐dimensional Bogoyavlensky‐Konopelchenko (BK) equation, and a variable‐coefficient extension of the DJKM (vDJKM) equation, which contain one‐soliton‐, two‐soliton‐, and triple‐soliton‐kind solutions. The physical phenomena of these gained multiple soliton solutions are analyzed and indicated in figures by selecting suitable values.

Suggested Citation

  • Pengbo Wan & Jalil Manafian & Hajar Farhan Ismael & Sizar Abid Mohammed, 2020. "Investigating One‐, Two‐, and Triple‐Wave Solutions via Multiple Exp‐Function Method Arising in Engineering Sciences," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:8018064
    DOI: 10.1155/2020/8018064
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    References listed on IDEAS

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    1. Ma, Wen-Xiu & Lee, Jyh-Hao, 2009. "A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo–Miwa equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1356-1363.
    2. Yanni Zhang & Jing Pang, 2019. "Lump and Lump‐Type Solutions of the Generalized (3+1)‐Dimensional Variable‐Coefficient B‐Type Kadomtsev‐Petviashvili Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2019(1).
    3. Chen, Su-Su & Tian, Bo & Liu, Lei & Yuan, Yu-Qiang & Zhang, Chen-Rong, 2019. "Conservation laws, binary Darboux transformations and solitons for a higher-order nonlinear Schrödinger system," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 337-346.
    4. Yanni Zhang & Jing Pang, 2019. "Lump and Lump-Type Solutions of the Generalized (3+1)-Dimensional Variable-Coefficient B-Type Kadomtsev-Petviashvili Equation," Journal of Applied Mathematics, Hindawi, vol. 2019, pages 1-5, June.
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