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Novel soliton solution of (3+1)-dimensional perturbed Burgers equation

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  • Wang, S.-F.

Abstract

By using homotopic mapping method, a functional is first introduced to construct the iterative relation of the equation, and the approximate expansion on the soliton solution of the corresponding equation is presented. The perturbation solution of the perturbed Burgers equation (PBE) is derived. In addition, the nested breather and bright–dark solitons are constructed by using auxiliary functions and the local excitation structure of the solution are considered This proposed method overcomes the limitation of classical variational iterative methods to find Lagrange factors for PDEs and can quickly approximate the exact solution of the perturbed equation. This method is simple and effective, and it has a wide range of application prospects.

Suggested Citation

  • Wang, S.-F., 2023. "Novel soliton solution of (3+1)-dimensional perturbed Burgers equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
    • Handle: RePEc:eee:phsmap:v:622:y:2023:i:c:s0378437123003631
    DOI: 10.1016/j.physa.2023.128808
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    References listed on IDEAS

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    1. Liu, Cheng-shi, 2022. "The renormalization method for singular perturbation of solitons," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    2. Wang, Haotian & Li, Xin & Zhou, Qin & Liu, Wenjun, 2023. "Dynamics and spectral analysis of optical rogue waves for a coupled nonlinear Schrödinger equation applicable to pulse propagation in isotropic media," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
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