Zhang L H and Liu X Q, Symmetry Groups and New Exact Solutions to (2+1)-Dimensional Variable Coefficient Canonical Generalized KP Equation, Commun. Theor. Phys.(2007).405-410.Zhang L H, Liu X Q, Bai C L. Symmetry groups and new exact solutions to (2+l)-dimensional variable ...
Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation The main subject of the paper is to give a survey and to present new methods on how integrability results (i.e. results for symmetry groups, inverse scatte... B Fuchssteiner - 《...
For the (2 + 1)-dimensional Broer-Kaup system, we study the corresponding Lie symmetry groups, and obtain the symmetry group theorem and the Backlund transformation formula of solutions finding. At the same time, we find some new exact solutions of the (
According to the space variable exchange symmetry, we change the2+1dimensional sine-Gordon system obtained by Konopelchenko and Rogers (KR) to a variant form. Some types of similarity reductions are obtained by using some Lie symmetry analysis. From these similarity reductions, we find that the...
摘要: In this work, the Lie group method is used to perform the similarity reduction and to obtain the exact solutions of the [equation]-dimensional KdV-Burgers equation. Similarity transformation method...关键词: KdV-Burgers equation Similarity transformation method Infinitesimal generator Similarity ...
Lie symmetry method results into the ordinary differential equations . These determining ODEs are solved under numeric constraints and provide exact solutions. The derived solutions retain all the four arbitrary functions appeared in infinitesimals and several arbitrary constants. Due to existing arbitrary ...
SYMMETRY REDUCTION AND EXACT SOLUTIONS 53 2 Symmetry and Solution Generation for the Yang-Mills Equations It was known long ago that YME are invariant with respect to the group C(1, 3) SU (2), where C(1, 3) is the 15-parameter conformal group having the following generators: Pµ =...
theoretic methods as applied to linear and nonlinear multidimensional equations of mathematical and theoretical physics. Equations are considered that are invariant under Euclid, Galilei, Schrodinger, Poincare, conformal, and some other Lie groups, with special emphasis being given to the construction of ...
In Section 3, the reductions of (1.1) are obtained, and in Section 4, we derive some new exact solutions of (1.1). Finally, the conservation laws of (1.1) will be presented in Section 5. 2. Symmetry of the ZK-BBM Equation The main task of the classical Lie method is to seek ...
of specific inorganic compounds A6150E Crystal symmetry models and space groups, and crystalline systems and classes A6470K Solid-solid transitions A7780B Ferroelectric transitions and Curie point/ temperature 2.93E+02 to 2.98E+02 K/ SrTiO3PbTiO3/ss TiO3/ss O3/ss Pb/ss Sr/ss Ti/ss O/ss...