Cylindrical Multi-Soliton Solutions of the Toda Molecule Equation and Their Large Molecule Limit of the Toda Lattice
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We consider the 2-F-l dimensional Toda Molecule equation llogF,V...'r-2V. -V. .=0 where A;(8/8x)'A-(8/8y)'. The boundary condition ismolecule type, which is V.=O at finite n corresponding to both ends of the molecule.By using the Hirota bilinear method, we derive the cylindrical multi-soliton solutionsof this system which are written explicitly by the associated l,egendre functions PQ.In the large molecule limit, the present Toda Molecule cylindrical solitons preciselyreproduce the (previously known) Toda Lattice cylindrical solitons. Brief study isalso made for the cylindrical solitons of the semi-?infinite Toda lattice.Toda molecule, soliton, Toda lattice
- 社団法人日本物理学会の論文
- 1990-05-15
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