scientific article; zbMATH DE number 7382452

zbMath1471.35074MaRDI QIDQ5006781

Sergeĭ Anatol'evich Dukhnovskiĭ

Publication date: 17 August 2021

Full work available at URL: https://diffjournal.spbu.ru/EN/numbers/2021.2/article.1.6.html

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zbMATH Keywords

symbolic computationKnudsen numbertanh-function methodMcKean system

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Solutions to PDEs in closed form (35C05) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Traveling wave solutions (35C07) Boltzmann equations (35Q20)

Related Items (3)

A self-similar solution for the two-dimensional Broadwell system via the Bateman equation ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• The extended tanh method and the exp-function method to solve a kind of nonlinear heat equation
• Application of the \((\frac{G'}{G})\)-expansion method for nonlinear evolution equations
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• The tanh method: A tool for solving certain classes of nonlinear evolution and wave equations.
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• On the large-time behavior of solutions to the Cauchy problem for a \(2\)-dimensional discrete kinetic equation
• The tanh and the sine-cosine methods for the complex modified KdV and the generalized KdV equations
• A note on the homogeneous balance method
• The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations
• On the nature of local equilibrium in the Carleman and Godunov-Sultangazin equations
• Solutions of the Carleman System Via the Painleve Expansion
• О скорости стабилизации решений задачи Коши для уравнения Карлемана с периодическими начальными данными
• ON DISCRETE MODELS OF THE KINETIC BOLTZMANN EQUATION

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