Trigonometric Polynomial Solutions of Bernoulli Trigonometric Polynomial Differential Equations
Mathematics, 2022 We consider real trigonometric polynomial Bernoulli equations of the form A(θ)y′=B1(θ)+Bn(θ)yn where n≥2, with A,B1,Bn being trigonometric polynomials of degree at most μ≥1 in variables θ and Bn(θ)≢0.
Claudia Valls
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Trigonometric solutions of the associative Yang-Baxter equation [PDF]
Mathematical Research Letters, 2003 We classify trigonometric solutions to the associative Yang-Baxter equation (AYBE) for A = Mat_n, the associative algebra of n-by-n matrices. The AYBE was first presented in a 2000 article by Marcelo Aguiar and also independently by Alexandre Polishchuk.
Schedler, Travis
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Solitary and soliton solutions of the nonlinear fractional Chen Lee Liu model with beta derivative [PDF]
Scientific ReportsThe nonlinear Chen-Lee-Liu (NCLL) model is a crucial mathematical model for assessing optical fiber communication systems. It incorporates various factors, including noise, dispersion, and nonlinearity, which can influence signal quality and data ...
Akhtar Hussain +5 more
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Electronic Journal of Differential Equations, 2017 Let $A(\theta)$ non-constant and $B_j(\theta)$ for $j=0,1,2,3$ be real trigonometric polynomials of degree at most $\eta \ge 1$ in the variable x. Then the real equivariant trigonometric polynomial Abel differential equations $A(\theta) y' =B_1(\theta)
Claudia Valls
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Trigonometric Function Solutions of Fractional Drinfeld's Sokolov -Wilson System [PDF]
ITM Web of Conferences, 2017 In this paper, we construct exact trigonometric solutions of the space-time fractional classical Drinfeld's Sokolov-Wilson system by Modified Trial Equation Method (MTEM).
Koçak Zeynep Fidan, Yel Gülnur
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The exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
Results in Physics, 2021 In the paper, we study the Boiti-Leon-Manna-Pempinelli equation with (3 + 1) dimension. By using the modified hyperbolic tangent function method, we obtain more new exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation, which ...
Xiaofang Duan, Junliang Lu
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Trigonometric ∨ -systems and solutions of WDVV equations * [PDF]
Journal of Physics A: Mathematical and Theoretical, 2020 Abstract We consider a class of trigonometric solutions of Witten–Dijkgraaf–Verlinde–Verlinde equations determined by collections of vectors with multiplicities. We show that such solutions can be restricted to special subspaces to produce new solutions of the same type.
Alkadhem, Maali, Feigin, Misha
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Analytical Rational Solitons of the Modified Lakshmanan-Porsezian-Daniel Equation
Universal Journal of Mathematics and Applications, 2023 In this paper, the Lakshmanan-Porsezian-Daniel (LPD) equation is studied. New analytical rational solitons to the LPD equation are presented by an ansatz method.
İlker Burak Giresunlu, Bengi Yıldız
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Exact Solutions of the Stochastic Conformable Broer–Kaup Equations
Axioms, 2023 In this article, the exact solutions of the stochastic conformable Broer–Kaup equations with conformable derivatives which describe the bidirectional propagation of long waves in shallow water are obtained using the modified exponential function method ...
Humaira Yasmin +3 more
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Learners’ Graphical Efficacy When Solving Trigonometric Problems
MEJ (Mathematics Education Journal), 2023 This study explored grade 12 learners’ graphical efficacy when solving problems involving trigonometric graphs. A structured test consisting of five trigonometric problems, with variations in context and structure, was administered to a purposefully ...
Paul Mutodi, Kgaladi Maphutha
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