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Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method

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  • Zhang, Run-Fa
  • Li, Ming-Chu
  • Gan, Jian-Yuan
  • Li, Qing
  • Lan, Zhong-Zhou

Abstract

In this work, some new test functions are constructed by setting generalized activation functions in different artificial network models. Bilinear neural network method is introduced to solve the explicit solution of a generalized breaking soliton equation. Rogue waves of generalized breaking soliton equation are obtained by symbolic computing technology and displayed intuitively with the help of Maple software.

Suggested Citation

  • Zhang, Run-Fa & Li, Ming-Chu & Gan, Jian-Yuan & Li, Qing & Lan, Zhong-Zhou, 2022. "Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    • Handle: RePEc:eee:chsofr:v:154:y:2022:i:c:s0960077921010468
    DOI: 10.1016/j.chaos.2021.111692
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    References listed on IDEAS

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    1. Manafian, Jalil & Mohammadi-Ivatloo, Behnam & Abapour, Mehdi, 2019. "Lump-type solutions and interaction phenomenon to the (2+1)-dimensional Breaking Soliton equation," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 13-41.
    2. Zhang, Run-Fa & Li, Ming-Chu & Albishari, Mohammed & Zheng, Fu-Chang & Lan, Zhong-Zhou, 2021. "Generalized lump solutions, classical lump solutions and rogue waves of the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada-like equation," Applied Mathematics and Computation, Elsevier, vol. 403(C).
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    Citations

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    Cited by:

    1. Cao, Na & Yin, XiaoJun & Bai, ShuTing & LiYangXu,, 2023. "Breather wave, lump type and interaction solutions for a high dimensional evolution model," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    2. Bai, Qian & Li, Xinyue & Zhao, Qiulan, 2024. "Evolution of dispersive shock waves to the complex modified Korteweg–de Vries equation with higher-order effects," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    3. Mandal, Uttam Kumar & Malik, Sandeep & Kumar, Sachin & Zhang, Yi & Das, Amiya, 2024. "Integrability aspects, rational type solutions and invariant solutions of an extended (3+1)-dimensional B-type Kadomtsev–Petviashvili equation," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

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