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標(biāo)題: Titlebook: Algebraic Approaches to Partial Differential Equations; Xiaoping Xu Book 2013 Springer-Verlag Berlin Heidelberg 2013 Algebraic method.Asym [打印本頁]

作者: risky-drinking    時間: 2025-3-21 19:57
書目名稱Algebraic Approaches to Partial Differential Equations影響因子(影響力)




書目名稱Algebraic Approaches to Partial Differential Equations影響因子(影響力)學(xué)科排名




書目名稱Algebraic Approaches to Partial Differential Equations網(wǎng)絡(luò)公開度




書目名稱Algebraic Approaches to Partial Differential Equations網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Algebraic Approaches to Partial Differential Equations被引頻次




書目名稱Algebraic Approaches to Partial Differential Equations被引頻次學(xué)科排名




書目名稱Algebraic Approaches to Partial Differential Equations年度引用




書目名稱Algebraic Approaches to Partial Differential Equations年度引用學(xué)科排名




書目名稱Algebraic Approaches to Partial Differential Equations讀者反饋




書目名稱Algebraic Approaches to Partial Differential Equations讀者反饋學(xué)科排名





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Nonlinear Scalar Equationsrespectively. The two-soliton solution is also determined via the Hirota bilinear presentation. The KP equation is an extension of the KdV equation. We use symmetry transformations to extend the solutions of the KdV equation to the more sophisticated solutions of the KP equation. Then we solve the K
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Navier–Stokes Equationsving-frame method to solve the three-dimensional Navier–Stokes equations. Seven families of unsteady rotating asymmetric solutions with various parameters are obtained. In particular, one family of solutions blows up on a moving plane, which may be used to study abrupt high-speed rotating flows. Usi
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Classical Boundary Layer Problemsent to the surface of the body. Classical unsteady boundary layer equations are fundamental nonlinear partial differential equations in the boundary layer theory of fluid dynamics. In this chapter, we introduce various schemes with multiple parameter functions to solve these equations and obtain man
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Algebraic Approaches to Partial Differential Equations978-3-642-36874-5
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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
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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
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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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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 Lechtenb?hmer,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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Decarbonization of Cities in AsiaThen we solve the Euler equations and exact equations. The method of undetermined coefficients for solving inhomogeneous linear ordinary differential equations is also presented. Furthermore, we give the method of variation of parameters for solving second-order inhomogeneous linear ordinary differe
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Decarbonization of Maritime Transportrespectively. The two-soliton solution is also determined via the Hirota bilinear presentation. The KP equation is an extension of the KdV equation. We use symmetry transformations to extend the solutions of the KdV equation to the more sophisticated solutions of the KP equation. Then we solve the K
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Decarbonize Public and Commercial Buildings,tric ideas and moving frames to solve two-dimensional Boussinesq equations with partial viscosity terms and three-dimensional stratified rotating Boussinesq equations. We obtain new families of explicit exact solutions with multiple parameter functions; many of them are periodic, quasi-periodic, and
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Book 2013uthor in recent years and with emphasis on physical equations such as: the Maxwell equations, the Dirac equations, the KdV equation, ?the KP equation, ?the nonlinear Schrodinger equation, ?the Davey and Stewartson equations, the Boussinesq equations in geophysics, ?the Navier-Stokes equations and th
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Green Concept of Ports and Transition Modeleriodic, and singular solutions that may have practical significance. The Davey–Stewartson equations are used to describe the long time evolution of three-dimensional packets of surface waves. Assuming that the argument functions are quadratic in spatial variables, we find various exact solutions for the Davey–Stewartson equations.




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