Results in Physics, 2023 The purpose of this research paper is to investigate the (3+1)-dimensional Hirota bilinear equation that arises in nonlinear waves in fluid dynamics, plasma physics and shallow water waves.
Hajar F. Ismael +5 more
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On soliton solutions, periodic wave solutions and asymptotic analysis to the nonlinear evolution equations in (2+1) and (3+1) dimensions [PDF]
Heliyon, 2023 In this paper, the (2+1)-dimensional generalized fifth-order KdV equation and the extended (3+1)-dimensional Jimbo-Miwa equation were transformed into the Hirota bilinear forms with Hirota direct method.
Baoyong Guo, Yong Fang, Huanhe Dong
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Exact breather waves solutions in a spatial symmetric nonlinear dispersive wave model in (2+1)-dimensions [PDF]
Scientific ReportsIn this article, the spatial symmetric nonlinear dispersive wave model in (2+1)-dimensions is studied, which have many applications in wave phenomena and soliton interactions in a two-dimensional space with time.
Qunyan Zou +6 more
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An exploration of the (3+1)-dimensional negative order KdV-CBS model: Wave solutions, Bäcklund transformation, and complexiton dynamics. [PDF]
PLoS ONEThis research paper focuses on the study of the (3+1)-dimensional negative order KdV-Calogero-Bogoyavlenskii-Schiff (KdV-CBS) equation, an important nonlinear partial differential equation in oceanography.
Miguel Vivas-Cortez +4 more
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Soliton solutions by means of Hirota bilinear forms
Partial Differential Equations in Applied Mathematics, 2022 The paper aims to provide a brief overview of soliton solutions obtained through the Hirota direct method. A bilinear formulation of soliton solutions in both (1+1)-dimensions and (2+1)-dimensions is discussed, together with applications to various ...
Wen-Xiu Ma
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Novel complex N-soliton and lump solutions for nonlocal breaking equation
Results in Physics, 2022 The Hirota bilinear method is applied to construct the new dynamics of complex N-soliton solutions for a nonlocal breaking equation. By using the auxiliary traveling wave function, the different-order soliton solutions, bifurcation solutions and lump ...
Shaofu Wang
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Results in Physics, 2023 This article discusses the behavior of specific dispersive waves to new (3+1)-dimensional Hirota bilinear equation (3D-HBE). The 3D-HBE is used as a governing equation for the propagation of waves in fluid dynamics.
U. Younas +5 more
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Novel soliton solutions to a (2+1)-dimensional breaking soliton equation
Partial Differential Equations in Applied Mathematics, 2022 In this paper, a Hirota bilinear form is presented for a (2+1)-dimensional breaking soliton equation. Novel N-soliton solutions are constructed through an application of the Hiorta direct method.
Qi Chen, Xiao-ming Zhu, Jian-bing Zhang
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Analytical Treatment of the Generalized Hirota-Satsuma-Ito Equation Arising in Shallow Water Wave
Advances in Mathematical Physics, 2021 In the current study, an analytical treatment is studied starting from the 2+1-dimensional generalized Hirota-Satsuma-Ito (HSI) equation. Based on the equation, we first establish the evolution equation and obtain rational function solutions by means of ...
Fan Yong-Yan +4 more
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A study on soliton, lump solutions to a generalized (3+1)-dimensional Hirota--Satsuma--Ito equation
Open Physics, 2023 In this article, through the Hirota bilinear method and long wave limit method, based on the N-solitons, we construct the multiple lump solutions of the generalized (3+1)-dimensional Hirota–Satsuma–Ito equation.
Qi Feng-Hua +3 more
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