LUCY 发表于 2025-3-25 06:42:13

Decarbonization of Maritime Transportary 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

Console 发表于 2025-3-25 08:55:18

Green Concept of Ports and Transition Modelnction with the vertical variable is introduced. Finally, we reduce the three-dimensional (spatial) equations into a two-dimensional problem and then solve it using three different ansatzes (assumptions).

Ceremony 发表于 2025-3-25 12:53:35

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Loathe 发表于 2025-3-25 17:12:33

Xiaoping XuFundamental algebraic techniques of solving PDEs.Exact solutions to physical equations.Accessibility to general audience.Includes supplementary material:

Pulmonary-Veins 发表于 2025-3-25 23:40:59

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nephritis 发表于 2025-3-26 00:59:23

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减弱不好 发表于 2025-3-26 04:22:05

First-Order Ordinary Differential Equationsions, and exact equations. Next we present the methods of solving more special first-order ordinary differential equations, such as the Bernoulli equations, the Darboux equations, the Riccati equations, the Abel equations, and the Clairaut equations.

Reclaim 发表于 2025-3-26 11:53:48

https://doi.org/10.1007/978-3-642-36874-5Algebraic method; Asymmetric approach; Exact solution; Moving frame; Partial differential equation; Symme

Acupressure 发表于 2025-3-26 16:01:47

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前面 发表于 2025-3-26 17:19:32

Stefan Lechtenböhmer,Sascha Samadiions, and exact equations. Next we present the methods of solving more special first-order ordinary differential equations, such as the Bernoulli equations, the Darboux equations, the Riccati equations, the Abel equations, and the Clairaut equations.
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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