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The Aging Curve: How Age Affects Physical Performance in Elite Football. [PDF]
Branquinho L +13 more
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Analytical evaluations using neural network-based method for wave solutions of combined Kairat-II-X differential equation in fluid mechanics. [PDF]
Zhou P +8 more
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Objective Evaluation of Relationship Between Tear Film Stability and Visual Fatigue. [PDF]
Watanabe M +4 more
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Gas and Steam Permeation Properties of Cation-Exchanged ZSM-5 Membrane. [PDF]
Hirota Y +6 more
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A stiffness-gated YAP-β-catenin axis orchestrates AXIN2 expression in metastatic breast cancer. [PDF]
Wu Y +5 more
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Exact Solutions to Ernst Equation in Hirota's Direct Method
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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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Simple equations method (SEsM) and its particular cases: Hirota method
AIP Conference Proceedings, 2021We discuss the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear partial differential equations. We show that the Hirota method is particular case of SEsM for specific form of the function from the Step. 2 of SEsM and for simple equations from the kind of differential equation for exponential function.
Nikolay K. Vitanov +1 more
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