Finite Symmetry Transformation Groups and Some Exact Solutions to(2+1)-Dimensional Cubic Nonlinear Schrdinger Equantion[J]. LI Biao~(1,3,+) LI Yu-Qi~(1,3) CHEN Yong~(1,2)1 Nonlinear Science Center,Ningbo University,Ningbo 315211,China2 Institute of Theoretical Computing,East China Normal ...
The purpose of the present paper is to illuminate the properties of the Aronsson equations from the point of view of the Lie Symmetry Theory, which to our knowledge has not been previously done. We shall obtain all Lie point symmetries of the quasilinear partial differential equation (3) inR2...
Let be the class of bounded functions from to a Banach space X. For , we define our ambient space based on Besov–Morrey type spaces (see (2.7)) as(1.13) which is a Banach space endowed with the norm(1.14) Here and are given by(1.15) where these values have been chosen in such ...
Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics 作者:Fushchich, W. I.; Shtelen, W. M.; Serov, N. I. 出版年:2010-12 页数:460 定价:$ 247.47 ISBN:9789048142446 豆瓣评分 目前无人评价 评价: 写笔记
Symmetry Groups and Non-Planar Collisionless Action-Minimizing Solutions of the Three-Body Problem in Three-Dimensional Space Periodic and quasi-periodic solutions of the n -body problem can be found as minimizers of the Lagrangian action functional restricted to suitable spaces o... DL Ferrario -...
In this paper, a Painlevé analysis of the (2+1)-dimensional variable-coefficient Calogero–Degasperis (VCCD) equation ψxt+α(t)ψxψxy+β(t)ψyψxx+γ(t)ψxxxy=0 has been performed to study the Painlevé properties. We applied the Lie-group formalism to deduce the symmetries and ...
A detailed systematic analysis that leads to an exact analytic solution for (1.11) has not been performed [2] and is therefore desirable. The paper has been organized as follows. 2 is entirely devoted to showing how the powerful symmetry reduction method can be used to generate various ...
Symmetry of instanton solutions in gauge theories 来自 adsabs.harvard.edu 喜欢 0 阅读量: 12 作者: AN Leznov 摘要: A connection is established between solutions of the instanton type in gauge theories and the transformation properties with respect to transformations from the homogeneous Lorentz ...
Classical solutions play an important role in quantum field theory, high energy physics and cosmology. Real-time soliton solutions give rise to particles, ... EJ Weinberg - Classical Solutions in Quantum Field Theory, by Erick J. Weinberg, Cambridge, UK: Cambridge University Press, 2012 被引量...
Kashaev and Reshetikhin in [18], where it is shown that each symmetrically factorizable Lie group is related to a bijective solution. Among these solutions, a description of all those that are involutive, i.e.,s2=idS×S, has been recently given by Colazzo, Jespers, and Kubat in [9]...