Titlebook: Algebraic Approaches to Partial Differential Equations; Xiaoping Xu Book 2013 Springer-Verlag Berlin Heidelberg 2013 Algebraic method.Asym

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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

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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).

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

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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.

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

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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.