SIDE III—Symmetries and Integrability of Difference Equations
SIDE III—Symmetries and Integrability of Difference Equations
复制标题
DOI：
10.1090/crmp/025
复制
发表时间：
2000-06
期刊：
影响因子：
--
通讯作者：
D. Levi;O. Ragnisco
中科院分区：
文献类型：
--
作者：
D. Levi;O. Ragnisco
用M. S. Alber， R. Camassa和M. Gekhtman的傅里叶-高斯变换求解非线性偏微分方程和Toda流的弱解 $q$（2 + 1）维可积微分-差分系统及其哈密顿结构由M. Blaszak和a . Szum Mobius与广义KP层次相关的不变可积点阵方程由L. V. Bogdanov和B. G. Konopelchenko在M. Boiti， F. Pempinelli, a . K. Pogrebkov的KPI方程的一般背景波孤子解A. S. Carstea关于1-D Volterra系统有理解的动力学问题C. Cresswell关于离散第一阶painlehierarchy的一元数据微分恒等式、广义多项式及其在物理和数学上的应用J. C. Eilbeck、V. Z. Enolskii和D. V. Leykin关于正则代数曲线上阿贝尔函数的Kleinian构造的离散方程和P. G. Estevez和P. A. Clarkson关于广义雅可比矩阵的代数可积系统的离散版本的奇异流形方法由g.g.u提出的微分-差分方程系统的对称分类。I. T. Habibullin和A. N. Vil'danov的非线性格的可积边界条件模不变量和J. Harnad和J. McKay的广义Halphen系统A. N. W. Hone， V. B. Kuznetsov，和O. Ragnisco对Henon-Heiles和Garnier系统的Backlund变换在N. Joshi的第一离散Painleve方程中的不规则奇异行为 $P_{\mathrm{II}}$ N. A. Kudryashov和A. Pickering的线性化系统的层次和S. Lafortune的Gambier方法，B. Grammaticos和A. Ramani的Poincare-Perron型差分方程和W. Lay的中心两点连接问题 $q$-由I. Loutsenko和V. Spiridonov提出的离散和连续SU的Lie点对称性的特殊函数($\infty$关于离散时间Toda格的可积系统的注解。Maruno， K. Kajiwara和M. Oikawa。量子Knizhnik-Zamolodchikov方程解的积分公式 $U_q(\widehat{sl}_n)$ 为了 $|q| = 1$ 离散薛定谔方程的对称性及其量子变形（L. M. Nieto， J. Negro， F. J. Herranz, and A. Ballesteros）离散孤子方程的行列式和Pfaffian解（Y. Ohta）差分等同问题和离散Painleve方程(V. G. Papageorgiou $A_{k-1}$ G. R. W. Quispel和D. Levi在非等谱孤子方程上的离散painlev方程W. K. Schief和B. G. Konopelchenko的离散旋转曲面和M. Senthilvelan的高维非线性演化方程的可积性kac - mody - virasoro代数和A. Turbiner的谐振子的不同面W. Van Assche的多重正交多项式的非对称线性差分方程V. L. Vereschagin解阶梯初值Volterra格的Cauchy问题的渐近性C. Viallet的可积性。
Billiard weak solutions of nonlinear PDE's and Toda flows by M. S. Alber, R. Camassa, and M. Gekhtman Fourier-Gauss transforms of some $q$-spectral functions by N. M. Atakishiyev Integrable differential-difference systems in (2 + 1)-dimensions and their Hamiltonian structure by M. Blaszak and A. Szum Mobius invariant integrable lattice equations associated with the generalized KP hierarchy by L. V. Bogdanov and B. G. Konopelchenko Wave soliton solutions on a generic background for KPI equation by M. Boiti, F. Pempinelli, A. K. Pogrebkov, and B. Prinari Difference and differential equations and convergence acceleration algorithms by C. Brezinski On the dynamics of rational solutions for 1-D Volterra system by A. S. Carstea Monodromy data for the discrete first Painleve hierarchy by C. Cresswell Differential identities, generalized polynomials and applications in physics and mathematics by G. Dattoli Lattice geometry of the Hirota equation by A. Doliwa Integrable discrete geometry: The quadrilateral lattice, its transformations and reductions by A. Doliwa and P. M. Santini On the Kleinian construction of abelian functions of canonical algebraic curves by J. C. Eilbeck, V. Z. Enolskii, and D. V. Leykin Discrete equations and the singular manifold method by P. G. Estevez and P. A. Clarkson Discrete versions of some algebraic integrable systems related to generalized Jacobians by Yu. Fedorov New potential symmetries by M. L. Gandarias Symmetry classification of systems of differential-difference equations by D. G.-U. Oteiza, S. Lafortune, and P. Winternitz Integrable boundary conditions for nonlinear lattices by I. T. Habibullin and A. N. Vil'danov Modular invariants and generalized Halphen systems by J. Harnad and J. McKay Symmetry preserving discretization of the Burgers equation by R. H. Heredero, D. Levi, and P. Winternitz Singularity confinement and degree growth by J. Hietarinta and C. Viallet Time-discretization of soliton equations by R. Hirota and M. Iwao Backlund transformations for the Henon-Heiles and Garnier systems by A. N. W. Hone, V. B. Kuznetsov, and O. Ragnisco Irregular singular behaviour in the first discrete Painleve equation by N. Joshi Rational and special solutions of the $P_{\mathrm{II}}$ hierarchy by N. A. Kudryashov and A. Pickering Linearisable systems and the Gambier approach by S. Lafortune, B. Grammaticos, and A. Ramani Difference equations of Poincare-Perron type and central two-point connection problems by W. Lay Self-similarity in spectral problems and $q$-special functions by I. Loutsenko and V. Spiridonov Lie point symmetries of discrete and continual SU($\infty$) Toda field theory by L. Martina A note on integrable systems related to discrete time Toda lattice by K.-i. Maruno, K. Kajiwara, and M. Oikawa The integral formula for the solutions of the quantum Knizhnik-Zamolodchikov equation associated with $U_q(\widehat{sl}_n)$ for $|q| = 1$ by T. Miwa and Y. Takeyama Symmetries of the discrete Schrodinger equation and its quantum deformations by L. M. Nieto, J. Negro, F. J. Herranz, and A. Ballesteros Determinant and Pfaffian solutions for discrete soliton equations by Y. Ohta Difference isomonodromy problems and discrete Painleve equations by V. G. Papageorgiou Discrete equations of motion for $A_{k-1}$ algebra by A. P. Protogenov and V. A. Verbus Discrete Painleve equations from nonisospectral soliton equations by G. R. W. Quispel and D. Levi A study of the continuous and discrete Gambier systems by A. Ramani, B. Grammaticos, and S. Lafortune Discrete surfaces of revolution by W. K. Schief and B. G. Konopelchenko Kac-Moody-Virasoro algebras and integrability of certain higher dimensional nonlinear evolutionary equations by M. Senthilvelan Different faces of harmonic oscillator by A. Turbiner Nonsymmetric linear difference equations for multiple orthogonal polynomials by W. Van Assche Asymptotics for solution to the Cauchy problem for Volterra lattice with step-like initial values by V. L. Vereschagin Complexity and integrability by C. Viallet.