Results 131 to 140 of about 314 (173)

Multistability, Chaos, and Control in the Deterministic and Stochastic Dynamics of Noise-Driven Nonlinear Oscillators. [PDF]

Entropy (Basel)
Jhangeer A, Abdelkader A.
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Reliable numerical scheme for coupled nonlinear Schrödinger equation under the influence of the multiplicative time noise. [PDF]

Sci Rep
Baber MZ, Ahmed N, Yasin MW, Iqbal MS, Akgül A, Hassani MK, Jawaz M.   +6 more
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Construction of complexiton-type solutions using bilinear form of Hirota-type

International Journal of Nonlinear Sciences and Numerical Simulation, 2022
Abstract In this paper, based on the Hirota bilinear form and the extended transformed rational function method, complexiton solutions have been found of the Hirota–Satsuma–Ito (HSI) equation and generalized Calogero–Bogoyavlenskii–Schiff equation through a direct symbolic computation with Maple.
Melike Kaplan, Nauman Raza
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Lump solutions to a (2+1)-dimensional fourth-order nonlinear PDE possessing a Hirota bilinear form

Modern Physics Letters B, 2021
Through the Hirota bilinear formulation, a (2+1)-dimensional combined fourth-order nonlinear equation is proposed, which possesses lump solutions. Two classes of lump solutions are presented explicitly in terms of the coefficients in the combined nonlinear equation.
Wen-Xiu Ma, Solomon Manukure, Hui Wang, Sumayah Batwa   +3 more
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HIROTA BILINEAR FORM FOR THE SUPER-KdV HIERARCHY

Modern Physics Letters A, 1993
The integrability of the super-KdV hierarchy suggests that it can be written in Hirota bilinear form as the group orbit equation for some infinite-dimensional Lie algebra. We show how the first few equations in the hierarchy can be written in Hirota bilinear form.
McArthur, I. N., Yung, C. M.
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Stability Analysis and Soliton Solutions of the Nonlinear Evolution Equation by Homoclinic Technique Based on Hirota Bilinear Form

2023 International Conference on Fractional Differentiation and Its Applications (ICFDA), 2023
The novel KdV model plays a significant part in the discovery of a variety of nonlinear ion acoustic wave and harmonic crystal phenomena. The new homoclinic method based on the Hirota bilinear form is used to create the bilinear form of the new KdV equation and uncover numerous new exact solu tions.
Yokus, Asif, Isah, Muhammad Abubakar
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HBFGen: A maple package to construct the Hirota bilinear form for nonlinear equations

Applied Mathematics and Computation, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Xu-dong, Ruan, Hang-yu
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Bilinear forms and solitonic stability for a variable-coefficient Hirota-Satsuma coupled Korteweg-de Vries system in a liquid

Physics Letters A, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu-Qi Chen, Bo Tian, Cheng-Cheng Wei, Dan-Yu Yang   +3 more
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HBFTrans2: A Maple Package to Construct Hirota Bilinear Form for Nonlinear Equations

Communications in Theoretical Physics, 2011
An improved algorithm for symbolic computation of Hirota bilinear form of nonlinear equations by a logarithm transformation is presented. The improved algorithm is more efficient by using the property of Hirota-D operator. The software package HBFTrans2 is written in Maple and its running efficiency is tested by a variety of soliton equations.
Xu-Dong Yang, Hang-Yu Ruan
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Rogue waves and Stability Analysis of the new (2+1)-KdV Equation Based on Symbolic Computation Method via Hirota Bilinear Form

2023 International Conference on Fractional Differentiation and Its Applications (ICFDA), 2023
In this article, we study the novel KdV model which makes a significant contribution to the understanding of a variety of nonlinear occurrences of ion-acoustic waves in plasma and acoustic waves in harmonic crystals. Hirota bilinearization will be used to carry out the task via the proper transformations.
Muhammad Abubakar Isah, Asıf Yokus
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