INFINITESIMAL BACKLUND TRANSFORMATIONS OF SINEGORDON EQUATION

INFINITESIMAL BACKLUND TRANSFORMATIONS OF SINEGORDON EQUATION

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摘要 Theorem 2. The infinitesimal Backlund transformnations Bλ+εBγ-1 of the sine-Gordon equation are permutable if and only if the conserred densities of the equation are in involution in pairs. This theorem reveals an intrinsie

作者屠规彰

机构地区 ComPuting Center

出处《Chinese Science Bulletin》 SCIE EI CAS 1982年第7期799-,共1页

关键词班位艺初三刀

分类号 O1 [理学—基础数学]

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1范恩贵,张鸿庆.A NEW APPROACH TO BACKLUND TRANSFORMATIONSOF NONLINEAR EVOLUTION EQUATIONS[J].Applied Mathematics and Mechanics(English Edition),1998,19(7):645-650.
2LUO Congwen, WANG Gaoxia Department of Mathematics, China Three Gorges University, Yichang 443002, Hubei, China.Congruence Permutable Kleene-Stone Algebras[J].Wuhan University Journal of Natural Sciences,2010,15(2):99-102.
3王云虎,陈勇.Bcklund Transformations and Solutions of a Generalized Kadomtsev-Petviashvili Equation[J].Communications in Theoretical Physics,2012,57(2):217-222. 被引量：2
4郭海英.An Involution on a Closed Manifold with the Fixed Point Set RP(1 )∪P(m,n)[J].Chinese Quarterly Journal of Mathematics,1998,13(2):16-26. 被引量：2
5Li Yan guang.BACKLUND TRANSFORMATIONS FOR THE EQUATION∂^(2) 2u/∂x^(1)∂x^(1)+∂^(2)u/∂x^(2)∂x^(2)=f(u)[J].Applied Mathematics and Mechanics(English Edition),1989,10(2):139-143.
6Zhou Xinlong (University of Duisburg,Germang).CHARACTERIZATION OF COVERGENT SUBDIVISION SCHEMES[J].Analysis in Theory and Applications,1998,14(3):11-24. 被引量：4
7王艳粉.影响天平计量性能的因素[J].中国计量,2011(5):113-114.
8黄迅成.DECOMPOSITIONS OF BACKLUND TRANSFORMATIONS OF LIOUVILLE AND WAVE EQUATIONS AS WELL AS BENJAMINONO EQUATION[J].Chinese Science Bulletin,1983,28(2).
9Li Fang WANG Yan Ming WANG.A Remark on З-Permutability of Finite Groups[J].Acta Mathematica Sinica,English Series,2007,23(11):1985-1990.
10胡晓瑞,陈勇.Bcklund Transformations and Explicit Solutions of (2+1)-Dimensional Barotropic and Quasi-Geostrophic Potential Vorticity Equation[J].Communications in Theoretical Physics,2010(5):803-808.

Chinese Science Bulletin

1982年第7期

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INFINITESIMAL BACKLUND TRANSFORMATIONS OF SINEGORDON EQUATION

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