Exact Null Controllability of String Equations with Neumann Boundaries by Lizhi Cui, Jing Lu

“…This article focuses on the exact null controllability of a one-dimensional wave equation in noncylindrical domains. …”
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Local exact controllability of the diffusion equation in one dimension by Marius Beceanu

“…This paper establishes the local exact null controllability of the diffusion equation in one dimension using distributed controls in the case of the Dirichlet boundary value problem. …”
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Study of Integrability and Exact Solutions for Nonlinear Evolution Equations by Weiguo Rui, Wen-Xiu Ma, Chaudry Masood Khalique, Zuo-nong Zhu

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Exact Formulae for Degree Distance Indices of Sum Graphs by Muhammad Javaid, Faiz Farid, Jia-Bao Liu, Abdulaziz Mohammed Alanazi

“…Moreover, a comparison is also presented between the obtained exact and already existing bounded values for the particular sum graphs.…”
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The Exact Distribution of the Condition Number of Complex Random Matrices by Lin Shi, Taibin Gan, Hong Zhu, Xianming Gu

“…The 2-norm condition number of Gm×n is κ2Gm×n=λ1/λn=σ1/σn. In this paper, the exact distribution of the condition number of the complex Wishart matrices is derived. …”
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The Exact Endoscopic Effect on the Peristaltic Flow of a Nanofluid by S. M. Khaled, Abdelhalim Ebaid, Fahd Al Mutairi

“…An attempt for doing so has been done in the present paper, where the temperature equation is solved exactly by the help of Laplace transform and, accordingly, the exact expressions for the nanoparticle concentration, the axial velocity, the pressure gradient, and the pressure rise are established. …”
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Infinitely Many Eigenfunctions for Polynomial Problems: Exact Results by Yi-Chou Chen

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Novel exact solutions for PDEs with mixed boundary conditions by Mark Craddock, Martino Grasselli, Andrea Mazzoran

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Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation by Bao Wang, Zhiqiang Chen

“…Most of the papers have explored the interactions between solitons with a zero background, while reports about exact solutions for nonzero background are rare. …”
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Learning exactly linearizable deep dynamics models by Ryuta Moriyasu, Masayuki Kusunoki, Kenji Kashima

“…In this paper, we propose a learning method for exactly linearizable dynamical models that can easily apply various control theories to ensure stability, reliability, etc., and to provide a high degree of freedom of expression. …”
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Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation by Hongwei Yang, Yunlong Shi, Baoshu Yin, Huanhe Dong

“…Based on discrete symmetries analysis, two groups of discrete symmetries are obtained, which lead to new exact solutions of the inviscid Burgers equation.…”
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Exact analytical Taub-NUT like solution in f(T) gravity by Joshua G. Fenwick, Masoud Ghezelbash

“…Abstract We construct exact analytical Taub-NUT solutions in the context of f(T) gravity. …”
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Exact Group Sequential Methods for Estimating a Binomial Proportion by Zhengjia Chen, Xinjia Chen

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A note on the exact formulas for certain $2$-color partitions by Guadalupe, Russelle

“…Using a result of Sussman, we derive the exact formula for $a_p(n)$ and obtain an asymptotic formula for $\log a_p(n)$. …”
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Some Reduction and Exact Solutions of a Higher-Dimensional Equation by Guangming Wang, Zhong Han

“…It can be verified that the reduced equation is a second order nonlinear ODE. Finally, some exact solutions of the Zakharov-Kuznetsov equation were constructed after solving the reduced equation.…”
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Exact Solutions to the Nonlinear Schrödinger Equation with Time-Dependent Coefficients by Xin-Lei Mai, Wei Li, Shi-Hai Dong

“…In this paper, a trial function method is employed to find exact solutions to the nonlinear Schrödinger equations with high-order time-dependent coefficients. …”
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Comparing Implementations of a Calculator for Exact Real Number Computation by José Raymundo Marcial-Romero, José Antonio Hernández Servín, Héctor Alejandro Montes-Venegas

“…Finalmente, la implementación se compara con una implementación estándar de computación de números reales exactos, basada en la representación de dígitos con signo, que a su vez se basa sobre la computación de números reales exactos.…”
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Exact Solutions and Localized Structures for Higher-Dimensional Burgers Systems by Yan-ze Peng

“…The Bäcklund transformations are obtained. Some interesting exact solutions are given. Then localized structures, such as dromion and solitoff, are found, and their interaction properties are numerically studied. …”
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New Conditions for Obtaining the Exact Solutions of the General Riccati Equation by Lazhar Bougoffa

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Exact Computations in Topological Abelian Chern-Simons and BF Theories by Philippe Mathieu

“…We show how the structure of Deligne cohomology classes provides a way to perform exact (nonperturbative) computations in U1 Chern-Simons theory (BF theory, resp.) at the level of functional integrals. …”
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