Full Symmetry Groups and Exact Solutions towhere , , , , and are functions of (, , ) to be determined by requiring (, , ) to satisfy the same (2+1)- dimensional GKP equation as V(, , ) under the transfor- mation {V, , , } → {, , , }GKP Equations
the flow becomes prone to instability. However, the magnitude of the elastic stress acting along the curved streamline is also important, and this is accounted for by the coupling with the second term on the left
精确解符号计算(3+1)维 NEE 方程广义射影 Riccati 展开法基于符号计算与对称群直接法研究了一个(3+1)维非线性偏微分方程3 w xz w ww-(22 t-x+1 w xxx y )2( w w-+x x y x)0=的对称群与精确解,获得该方程的李点对称群和非李对称群.最后通过广义射影 Riccati 展开法...
the flow becomes prone to instability. However, the magnitude of the elastic stress acting along the curved streamline is also important, and this is accounted for by the coupling with the second term on the left
Bin ZhengXiqiang Liu理论数学进展(英文)H. Wang and Y.-H. Tian, "Non-Lie symmetry groups and new exact solutions of a (2+1)-dimensional generalized Broer-Kaup system," Communications in Nonlinear Science and Numerical Simulation, vol. 16, no. 10, pp. 3933-3940, 2011....
Graphical simulation of some solutions in the form of two-dimensional and three-dimensional are plotted to understanding of the underlying physical phenomena and mathematical properties of the (2+1)-dimensional HNLS and HFSC equations. The solutions and graphing are performed using Maple software....
Symmetry Groups and Exact Solutions of New(4+1)-Dimensional Fokas Equation[J]. YANG Zheng-Zheng~(1,2,+) YAN Zhen-Ya~11 Key Laboratory of Mathematics Mechanization,Institute of Systems Science,AMSS,Chinese Academy of Sciences Beijing 100080,China2 Graduate School of the Chinese Academy of ...
The latter have significantly different symmetry properties compared to the former sub-models. Essential to both laminar and turbulent sub-models is that they admit two scaling groups while the Navier-Stokes equations only admit one scaling group. It is important for the understanding of bath sub-...
Secondly, the nonisospectral BKP can be proved to be Painlevé integrability by combining the standard WTC approach with the Kruskal's simplification, some solutions are obtained by using the standard truncated Painlevé expansion. Finally, based on the relationship by the generalized symmetry group ...
K. (2003): Symmetry groups and Group-invariant solutions of 3D non-linear thermoelasticity. Int. J. Eng. Sci. 41 (6), pp. 547- 568.Koureas, Th., Charalambopoulos, A. and Kalpakides, V. K. (2003): Symmetry groups and Group-invariant solutions of 3D non-linear thermoelasticity, Int...