Results 1 to 10 of about 47,209 (207)

Exact solutions of Hirota–Maccari system forced by multiplicative noise in the Itô sense

Journal of Low Frequency Noise, Vibration and Active Control, 2022
In this article, the stochastic Hirota–Maccari system forced in the Itô sense by multiplicative noise is considered. We just use the He’s semi-inverse method, sine–cosine method, and Riccati–Bernoulli sub-ODE method to get new stochastic solutions which ...
Wael W. Mohammed, Hijaz Ahmad, Hamid Boulares, Fathi Khelifi, Mahmoud El-Morshedy   +4 more
doaj   +2 more sources

Constructing a supersymmetric integrable system from the Hirota method in superspace [PDF]

Nuclear Physics B, 2004
An N=1 supersymmetric system is constructed and its integrability is shown by obtaining three soliton solutions for it using the supersymmetric version of Hirota's direct method.
Carstea, Carstea, Carstea, Das, Debojit Sarma, Gardner, Ghosh, Ghosh, Hieteranta, Hieteranta, Hirota, Hirota, Hirota, Hirota, Hirota, Kakei, Kortweg, Kupershmidt, Labelle, Laberge, Manin, Mathieu, Mathieu, McArthur, Popowicz, Satsuma   +25 more
openaire   +3 more sources

On soliton solutions, periodic wave solutions and asymptotic analysis to the nonlinear evolution equations in (2+1) and (3+1) dimensions

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
doaj   +1 more source

Domain Structure Formation in Designing of the Opened Informative Measuring Systems

Приборы и методы измерений, 2022
The opened systems possess an increasing significance and possibilities of applying in designing of measuring devices. Now an essentially nonlinear models are used for such systems. The perturbation approach is not enough for these purposes.
M. A. Knyazev
doaj   +1 more source

Multi-soliton solutions of the Sawada-Kotera equation using the Hirota direct method: Novel insights into nonlinear evolution equations

Partial Differential Equations in Applied Mathematics, 2023
Recently, mathematicians, engineers, and scientists have explored the unique characteristics and potential applications of multi-solitons, which is an expanding domain of study.
A. K. M. Kazi Sazzad Hossain, M. Ali Akbar   +1 more
doaj   +1 more source

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
doaj   +1 more source

Bifurcation, Traveling Wave Solutions, and Stability Analysis of the Fractional Generalized Hirota–Satsuma Coupled KdV Equations

Discrete Dynamics in Nature and Society, 2021
In this paper, the bifurcation, phase portraits, traveling wave solutions, and stability analysis of the fractional generalized Hirota–Satsuma coupled KdV equations are investigated by utilizing the bifurcation theory. Firstly, the fractional generalized
Zhao Li, Peng Li, Tianyong Han
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Bifurcation, sensitivity analysis and exact traveling wave solutions for the stochastic fractional Hirota–Maccari system

Results in Physics, 2023
The stochastic fraction Hirota–Maccari system is used as a governing model to check the wave propagation in nonlinear optics, plasma physics and hydrodynamics.
Tianyong Han, Lingzhi Zhao
doaj   +1 more source

A diversity of patterns to new (3 + 1)-dimensional Hirota bilinear equation that models dynamics of waves in fluids

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, Hajar F. Ismael, T.A. Sulaiman, Muhammad Amin S. Murad, Nehad Ali Shah, Mohsen Sharifpur   +5 more
doaj   +1 more source

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, Jalil Manafian, Syed Maqsood Zia, Dinh Tran Ngoc Huy, Trung-Hieu Le   +4 more
doaj   +1 more source