流逝 发表于 2025-3-23 11:58:45

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Somber 发表于 2025-3-23 15:58:25

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真实的人 发表于 2025-3-23 21:53:43

Algebraic Approaches to Partial Differential Equations978-3-642-36874-5

Panther 发表于 2025-3-23 22:53:28

Special Functionssigma function .(.) satisfies .′(.)/.(.)=.(.). We discuss these functions and their properties in this chapter to a certain depth. Finally, we present Jacobi’s elliptic functions ., and ., and we derive the nonlinear ordinary differential equations that they satisfy. These functions are also very us

观点 发表于 2025-3-24 05:49:10

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蜡烛 发表于 2025-3-24 08:24:01

Nonlinear Scalar Equationsary parameter functions of . for the equation of transonic gas flows. Similar solutions are also obtained for the short-wave equation and the Khokhlov–Zabolotskaya equation in nonlinear acoustics of bounded bundles. The symmetry transformations and two new families of exact solutions with multiple p

极小量 发表于 2025-3-24 11:29:39

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破裂 发表于 2025-3-24 16:21:56

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Onerous 发表于 2025-3-24 20:45:19

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BRAVE 发表于 2025-3-25 02:20:57

LCA Studies on Marine Alternative Fuelstum .-body systems in one dimension. If .=2, we find a connection between the Calogero–Sutherland model and the Gauss hypergeometric function. When .>2, we have a new class of multivariable hypergeometric functions. Finally, we use matrix differential operators and Fourier expansions to solve the Ma
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查看完整版本: Titlebook: Algebraic Approaches to Partial Differential Equations; Xiaoping Xu Book 2013 Springer-Verlag Berlin Heidelberg 2013 Algebraic method.Asym