CYLINDRICAL MULTISOLITON SOLUTIONS OF THE TODA MOLECULE EQUATION AND THEIR LARGE MOLECULE LIMIT OF THE TODA LATTICE

被引:5
作者
NAKAMURA, A
机构
[1] Physics Laboratory, Osaka University of Foreign Studies, Osaka 562, Aomadani, Minoh City
关键词
soliton; Toda lattice; Toda molecule;
D O I
10.1143/JPSJ.59.1553
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider the 2+1 dimensional Toda Molecule equation Δ log Vn-Vn+1+2Vn-Vn-1=0 where Δ≡(∂/∂x)2+(∂/∂y)2. The boundary condition is molecule type, which is Vn=0 at finite n corresponding to both ends of the molecule. By using the Hirota bilinear method, we derive the cylindrical multi-soliton solutions of this system which are written explicitly by the associated Legendre functions PMn. In the large molecule limit, the present Toda Molecule cylindrical solitons precisely reproduce the (previously known) Toda Lattice cylindrical solitons. Brief study is also made for the cylindrical solitons of the semi-infinite Toda lattice. © 1990, The Physical Society of Japan. All rights reserved.
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页码:1553 / 1559
页数:7
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