Symmetries and Their Lie Algebra of a Variable Coefficient Korteweg-de Vries Hierarchy-中国期刊网

摘要 Isospectralandnon-isospectralhierarchiesrelatedtoavariablecoefficientPainlev′eintegrableKorteweg-deVries(KdVforshort)equationarederived.Thehierarchiesshareaformalrecursionoperatorwhichisnotarigorousrecursionoperatorandcontainstexplicitly.Bythehereditarystrongsymmetrypropertyoftheformalrecursionoperator,theauthorsconstructtwosetsofsymmetriesandtheirLiealgebrafortheisospectralvariablecoefficientKorteweg-deVries(vcKdVforshort)hierarchy.

1CAI Ke-Jie;TIAN Bo;ZHANG Cheng;ZHANG Huan;MENG Xiang-Hua;LU Xing;GENG Tao;LIU Wen-Jun. Wronskian Form of N-Solitonic Solution for a Variable-Coefficient Korteweg-de Vries Equation with Nonuniformities.物理,2008-11.
2KHELIL N. BENSALAH N. SAIDI H. ZERARKA A.. Artificial perturbation for solving the Korteweg-de Vries equation.物理,2006-12.
3Lionel ROSIER;Bing-Yu ZHANG. CONTROL AND STABILIZATION OF THE KORTEWEG-DE VRIES EQUATION： RECENT PROGRESSES.系统科学,2009-04.
4XU Zhen-li LIU Ru-xun. A HIGH-ORDER PADE SCHEME FOR KORTEWEG-DE VRIES EQUATIONS.水力学及河流动力学,2005-06.
5Ying YOU;Jing YU;Qiao-yun JIANG. An implicit symmetry constraint of the modified Korteweg-de Vries （mKdV） equation.物理,2008-10.
6. Gevrey Class Regularity of a Semigroup Associated with a Nonlinear Korteweg-de Vries Equation.基础数学,2018-02.
7杨红丽;宋金宝;杨联贵;刘永军. A kind of extended Korteweg-de Vries equation and solitary wave solutions for interfacial waves in a two-fluid system.物理,2007-12.
8Ming Gao;Ying Xu;Xiaoqing Yue. The Lie Conformal Algebra of a Block Type Lie Algebra.基础数学,2015-03.
9Yu Feng YAO;Bin SHU;Yi Yang LI. Inverse Limits in Representations of a Restricted Lie Algebra.基础数学,2012-12.
10DINGWei;TANGXiao-Yan. Lie Point Symmetries of Differential-Difference Equations.物理,2004-05.

Symmetries and Their Lie Algebra of a Variable Coefficient Korteweg-de Vries Hierarchy

来源期刊

相关推荐

同分类资源更多

相关关键词

Symmetries and Their Lie Algebra of a Variable Coefficient Korteweg-de Vries Hierarchy

来源期刊

相关推荐

同分类资源 更多

相关关键词

同分类资源更多