Explicit One-Soliton Solutions of the 1+1 Dimensional Toda Molecule Equation and Their Large Molecule Limit of the Infinite Toda Lattice
Explicit One-Soliton Solutions of the 1+1 Dimensional Toda Molecule Equation and Their Large Molecule Limit of the Infinite Toda Lattice
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1 1维Toda分子方程的显式一孤子解及其无限Toda晶格的大分子极限
DOI：
10.1143/jpsj.59.4272
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发表时间：
1990
影响因子：
1.7
通讯作者：
A. Nakamura
中科院分区：
文献类型：
--
作者：
A. Nakamura
我们得到了1+1维户田分子方程（n/t）2 log V（n，t）- V的显式单孤子解（n +1，t）+2 V（n，t）- V（n-1，t）=0，由满足分子边界条件V（n，t）=0的任意数量的粒子组成，在n =- M ′和M ′′处（M ′，M ″为任意正整数常数）。结果表明，对于适当选取的任意常数参数值和大分子极限，本户田分子单孤子解实际上再现了著名的无限户田晶格单孤子解.
We have obtained the explicit one-soliton solutions of the 1+1 dimensional Toda molecule equation, (∂/∂ t ) 2 log V ( n , t )- V ( n +1, t )+2 V ( n , t )- V ( n -1, t )=0, consisting of arbitrary number of particles which satisfy the molecule boundary condition V ( n , t )=0 at n =- M ′ and M ′′ ( M ′ , M ′′ ≡arbitrary positive integer constants). It has been shown that for the properly chosen values of arbitrary constant parameters and the large molecule limit, the present Toda molecule one-soliton solutions actually reproduce the well known infinite Toda lattice one-soliton solutions.