Results 131 to 140 of about 394 (186)

Optical solutions to time-fractional improved (2+1)-dimensional nonlinear Schrödinger equation in optical fibers. [PDF]

Sci Rep
Murad MAS, Tedjani AH, Li Z, Hussain E.
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New precise solitary wave solutions for coupled Higgs field equations via two enhanced methods. [PDF]

Sci Rep
Hassan U, Sabi'u J, Yakubu UA, Aidara CAT, Muhammad UA.   +4 more
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Exploration of bifurcation, chaos and novel optical dromions solution of the fractional nonlinear dynamical model. [PDF]

Sci Rep
Alzaid SS, Alkahtani BST.
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Dust Acoustic Multi-soliton Collisions in a Dusty Plasma Using Hirota Bilinear Method

مجلة جامعة عمران, 2021
The propagation and collision of dust acoustic (DA) multi-solitons in a four component dusty plasma which consists of negatively and positively charged cold dust fluids, Boltzmann distributed electrons and ions have been studied in the presence of a polarization force acting on dust grains.
Mahmood Ahmed Hassan Khaled, Mohamed Ali Shukri, Yusra Abd-Ulrahman Hager   +2 more
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Multiple rogue wave solutions of (2+1)-dimensional YTSF equation via Hirota bilinear method

Waves in Random and Complex Media, 2021
In present paper, multiple rogue wave solutions of (2+1)-dimensional Yu–Toda–Sasa–Fukuyama equation were studied by applying the traveling wave transformation and the Hirota bilinear method.
Yueyang Feng, Sudao Bilige
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An extended Hirota bilinear method and new wave structures of (2+1)-dimensional Sawada–Kotera equation

Applied Mathematics Letters, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yan Li, Ruoxia Yao, Senyue Lou
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Hirota's Bilinear Method and its Generalization

International Journal of Modern Physics A, 1997
We review Hirota's bilinear method for constructing multisoliton solutions, its use in searching for new soliton equations, and its generalization to higher multi-linearity using gauge invariance as the determining property. Hirota's method is relevant even when a soliton solution is not the object of the study, as an example we show how it clarifies ...
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Soliton Solutions of Coupled KdV System from Hirota's Bilinear Direct Method

Communications in Theoretical Physics, 2008
With Hirota's bilinear direct method, we study the special coupled KdV system to obtain its new soliton solutions. Then we further discuss soliton evolution, corresponding structures, and interesting interactive phenomena in detail with plot. As a result, we find that after the interaction, the solitons make elastic collision and there are no exchanges
Yang Jian-Rong, Mao Jie-Jian
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Soliton interaction in the higher-order nonlinear Schrödinger equation investigated with Hirota's bilinear method

Physical Review E, 2008
The soliton interaction is investigated based on solving the higher-order nonlinear Schrödinger equation with the effects of third-order dispersion, self-steepening, and stimulated Raman scattering. By using Hirota's bilinear method, the analytic one-, two-, and three-soliton solutions of this model are obtained.
Wen-Jun, Liu, Bo, Tian, Hai-Qiang, Zhang, Li-Li, Li, Yu-Shan, Xue   +4 more
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Various solutions of the (2+1)-dimensional Hirota–Satsuma–Ito equation using the bilinear neural network method

Chinese Journal of Physics, 2023
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Guangzheng Zhu, Hailing Wang, Zhen-ao Mou, Yezhi Lin   +3 more
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