Results 21 to 30 of about 64,375 (247)
Quasi-polynomials and the Bethe Ansatz [PDF]
, 2007 We study solutions of the Bethe Ansatz equation related to the trigonometric Gaudin model associated to a simple Lie algebra g and a tensor product of irreducible finite-dimensional representations.
Mukhin, E, Varchenko, A
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Classification of cubic equations
Lietuvos Matematikos Rinkinys, 2018 Rather unexpectably all real equations of the fourth degree are solvable by real means. So we can classify all real equations of the third and fourth degree. In this article we classify real cubics. The real quartics will be classified in another article.
Juvencijus Mačys, Jurgis Sušinskas
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Exact solutions of (3 + 1)-dimensional generalized KP equation arising in physics
Results in Physics, 2017 In this work, we have obtained some exact solutions to (3 + 1)-dimensional generalized KP Equation. The improved tanϕ(ξ)2-expansion method has been introduced to construct the exact solutions of nonlinear evolution equations.
Syed Tauseef Mohyud-Din +3 more
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A note on the relationship between rational and trigonometric solutions of the WDVV equations [PDF]
, 2006 Legendre transformations provide a natural symmetry on the space of solutions to the WDVV equations, and more specifically, between different Frobenius manifolds.
Dubrovln B +5 more
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Mathematics, 2016 In this research article, we present exact solutions with parameters for two nonlinear model partial differential equations(PDEs) describing microtubules, by implementing the exp(−Φ(ξ))-Expansion Method ...
Nur Alam, Fethi Bin Muhammad Belgacem
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New Solvable Lattice Models from Conformal Field Theory [PDF]
, 1996 We build the trigonometric solutions of the Yang-Baxter equation that can not be obtained from quantum groups in any direct way. The solution is obtained using the construction suggested recently from the rational conformal field theory corresponding to ...
Andrews +19 more
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Trigonometric Solutions Using Sine Quadrant
Procedia - Social and Behavioral Sciences, 2010 AbstractIn astronomical calculations, the sine quadrant is an important tool apart from the use of astrolabe (asturlab). In the Malay World, the use of the sine quadrant or also referred to as Rubuc Mujayyab is more significant compared to astrolabe. The sine quadrant is a quadrant-shaped plate, which contains grid lines of the scale of trigonometric ...
Zainal, Baharrudin, Ismail, Mat Rofa
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Some New Solutions of Yang-Baxter Equation [PDF]
, 1994 We have found some new solutions of both rational and trigonometric types by rewriting Yang-Baxter equation as a triple product equation in a vector space of matrices.Comment: 8 ...
Au-Yang +14 more
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Results in Physics, 2021 This projected work applies the generalized exponential rational function method to extract the complex, trigonometric, hyperbolic, dark bright soliton solutions of the cubic nonlinear Schrödinger’s equation.
Yi-Xia Li +4 more
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Explicit solutions of the classical Calogero & Sutherland systems for any root system [PDF]
, 2005 Explicit solutions of the classical Calogero (rational with/without harmonic confining potential) and Sutherland (trigonometric potential) systems is obtained by diagonalisation of certain matrices of simple time evolution. The method works for Calogero &
Avan J., K. Takasaki, R. Sasaki
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