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Exact Solutions to Ernst Equation in Hirota's Direct Method
Exact Solutions to Ernst Equation in Hirota's Direct Methodopenaire
Complexiton solutions to soliton equations by the Hirota method
Journal of Mathematical Physics, 2017 We apply the Hirota direct method to construct complexiton solutions (complexitons). The key is to use Hirota bilinear forms. We prove that taking pairs of conjugate wave variables in the 2N-soliton solutions generates N-complexion solutions. The general theory is used to construct multi-complexion solutions to the Korteweg–de Vries equation.
Yuan Zhou, Wen-Xiu Ma
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Superlattices and Microstructures, 2017
Abstract Under investigation in this paper is the generalized coupled nonlinear Hirota (GCH) equations with addition effects by the Hirota method, which is better than the coupled nonlinear Schrodinger equations in eliciting optical solitons for increasing the bit rates.
Ting-Ting Jia, Yu-Zhen Chai, Hui-Qin Hao
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Abstract Under investigation in this paper is the generalized coupled nonlinear Hirota (GCH) equations with addition effects by the Hirota method, which is better than the coupled nonlinear Schrodinger equations in eliciting optical solitons for increasing the bit rates.
Ting-Ting Jia, Yu-Zhen Chai, Hui-Qin Hao
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Optik, 2017 This paper obtains dispersive dark and singular optical solitons, governed by Schrödinger–Hirota equation, in optical fibers. The integration algorithm is the modified simple equation method.
Ahmed H Arnous +2 more
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∂̄-Dressing method for a generalized Hirota equation
International Journal of Modern Physics B, 2022Based on a [Formula: see text] matrix [Formula: see text] problem, we have obtained the Lax pair by constructing a spectral transformation matrix. The Hirota equation with self-consistent sources is derived by considering the nonanalytic part of the dispersion relation.
Yehui Huang, Jingjing Di, Yuqin Yao
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The Painlevé Property and Hirota's Method
Studies in Applied Mathematics, 1985The connection between the Painlevé property for partial differential equations, proposed by Weiss, Tabor, and Carnevale, and Hirota's method for calculating N‐soliton solutions is investigated for a variety of equations including the nonlinear Schrödinger and mKdV equations.
Gibbon, J. D. +3 more
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A simplified hirota method and its application
Journal of Shanghai University (English Edition), 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Guiqiong +2 more
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Dispersive optical solitons with Schrödinger–Hirota equation by extended trial equation method
Optik, 2017 This paper obtains bright, dark and singular soliton solutions from perturbed Schrödinger–Hirota equation that governs the propagation of dispersive pulses through optical fibers. The trial equation method is adopted to achieve this goal.
Mehmet Ekici +2 more
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Derivation of monopole solutions by Hirota's method
Journal of Physics A: Mathematical and General, 1988Summary: The second-order field equations in the 't Hooft-Polyakov monopole theory in the Prasad-Sommerfield limit are solved by Hirota's method. All the known point and regular solutions are rederived in a systematic way.
Ajithkumar, C. M., Sabir, M.
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Stability Analysis of a Soliton by the Hirota Method
Journal of the Physical Society of Japan, 1988The Hirota bilinear method is applied to a weakly perturbed system and the stability of the soliton with respect to the bending of wavefront is studied. This method is more useful for stability analysis than the ordinary perturbation method or the perturbation treatment of the inverse scattering method.
Michiaki Matsukawa +2 more
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