Results 1 to 10 of about 27,076 (175)
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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Results in EngineeringIn this research, the Hirota bilinear method is used for the development and examination of different types of wave symmetries of a blood flow and arterial wall motion model.
Baboucarr Ceesay +4 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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Hirota Bilinear Approach to Multi-Component Nonlocal Nonlinear Schrödinger Equations
MathematicsNonlocal nonlinear Schrödinger equations are among the important models of nonlocal integrable systems. This paper aims to present a general formula for arbitrary-order breather solutions to multi-component nonlocal nonlinear Schrödinger equations by ...
Wen-Xiu Ma, Yushan Bai
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Interaction solutions for a dimensionally reduced Hirota bilinear equation
Computers and Mathematics With Applications, 2018 With the help of Hirota direct method and symbolic computation, two types of interaction solutions to the dimensionally reduced equations in (2+1)-dimensions are derived, respectively, by searching for the solutions to the associated bilinear equations ...
Yun-Hu Wang
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Open PhysicsThis study examines the effects of various M-shaped water wave shapes on coastal environments for the modified regularized long-wave equation (MRLWE).
Ceesay Baboucarr +2 more
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Open PhysicsThe purpose of this work is to study the physical phenomena of the doubly dispersive model that controls chaotic wave movement in the elastic Murnaghan’s rod.
Ceesay Baboucarr +5 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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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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