0 v 1 1 1 O ct 1 99 5 Toda Lattice Models with Boundary Akira FUJII
نویسنده
چکیده
We consider the soliton solutions in 1and (1+1)-dimensional Toda lattice models with a boundary. We make use of the solutions already known on a full line by means of the Hirota’s method. We explicitly construct the solutions satisfying the boundary conditions. The Z∞-symmetric boundary condition can be introduced by the two-soliton solutions naturally. PACS number: 03.20+i, 02.60Lj
منابع مشابه
ar X iv : s ol v - in t / 9 90 20 05 v 2 1 4 O ct 1 99 9 Multiscale Analysis
The method of multiscale analysis is constructed for dicrete systems of evolution equations for which the problem is that of the far behavior of an input boundary datum. Discrete slow space variables are introduced in a general setting and the related finite differences are constructed. The method is applied to a series of representative examples: the Toda lattice, the nonlinear Klein-Gordon ch...
متن کاملv - in t / 9 90 20 05 v 1 5 F eb 1 99 9 Multiscale Analysis of Discrete Nonlinear
The method of multiscale analysis is constructed for dicrete systems of evolution equations for which the problem is that of the far behavior of an input boundary datum. Discrete slow space variables are introduced in a general setting and the related finite differences are constructed. The method is applied to a series of representative examples: the Toda lattice, the nonlinear Klein-Gordon ch...
متن کاملar X iv : s ol v - in t / 9 70 80 01 v 1 4 A ug 1 99 7 Two - dimensional soliton cellular automaton of deautonomized Toda - type
A deautonomized version of the two-dimensional Toda lattice equation is presented. Its ultra-discrete analogue and soliton solutions are also discussed. PACS: 03.20.+i; 03.40.Kf; 04.60.Nc
متن کاملar X iv : h ep - t h / 99 10 04 1 v 1 5 O ct 1 99 9 BLACK HOLE P - BRANE SOLUTIONS FOR GENERAL INTERSECTION RULES
Black hole generalized p-brane solutions for a wide class of intersection rules are obtained. The solutions are defined on a manifold that contains a product of n − 1 Ricci-flat " internal " spaces. They are defined up to a set of functions H s obeying a non-linear differential equations (equivalent to Toda-type equations) with certain boundary conditions. A conjecture on polynomial structure o...
متن کامل60 50 06 v 1 2 2 M ay 1 99 6 A new integrable system related to the relativistic Toda lattice
A new integrable lattice system is introduced, and its integrable discretization is obtained. A Bäcklund transformation between this new system and the relativistic Toda lattice is established.
متن کامل