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Complexiton and resonant multi-solitons of a (4 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation

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Abstract

This work is concerned with the extraction of auto-Bäcklund transformations of (4 + 1)-dimensional Boiti–Leon–Manna–Pempinelli (BLMP) equation in accordance with the extended homogeneous balance (HB) method incorporating Maple. Subsequently, these transformations are used to study analytic explicit solutions of this equation. Also, based on the Hirota bilinear form and the extended transformed rational function method, complexiton solutions have been found of the (4 + 1)-dimensional BLMP equation through a direct symbolic computation with Maple. This method is the improved form of the transformed rational function method. The obtained complexiton solutions, including trigonometric and hyperbolic trigonometric solutions, have been verified utilizing Hirota bilinear forms. Some of the solutions are depicted in 3D graphs to understand physical properties. The reported results are new and have applications in several scientific fields such as incompressible fluids.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan

    Nauman Raza

  2. Department of Mathematics, Faculty of Arts & Sciences, Kastamonu University, Kastamonu, Turkey

    Melike Kaplan

  3. School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Islamabad, 44000, Pakistan

    Ahmad Javid

  4. Department of Computer Engineering, Biruni University, Istanbul, Turkey

    Mustafa Inc

  5. Department of Mathematics, Science Faculty, Firat University, Elazig, Turkey

    Mustafa Inc

  6. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

    Mustafa Inc

Authors
  1. Nauman Raza
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  2. Melike Kaplan
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  3. Ahmad Javid
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  4. Mustafa Inc
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Correspondence to Mustafa Inc.

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Raza, N., Kaplan, M., Javid, A. et al. Complexiton and resonant multi-solitons of a (4 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation. Opt Quant Electron 54, 95 (2022). https://doi.org/10.1007/s11082-021-03487-6

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