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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- Nakamura Akira
- Physics Laboratory, Osaka University of Foreign Studies
Bibliographic Information
- Other Title
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- Explicit One Soliton Solutions of the 1
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Abstract
We have obtained the explicit one-soliton solutions of the 1+1 dimensional Toda molecule equation, (∂⁄∂t)2log V(n, t)−V(n+1, t)+2V(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.
Journal
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 59 (12), 4272-4278, 1990
THE PHYSICAL SOCIETY OF JAPAN
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Details 詳細情報について
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- CRID
- 1390001204178141568
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- NII Article ID
- 110001960653
- 210000095650
- 130003740584
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- NII Book ID
- AA00704814
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- BIBCODE
- 1990JPSJ...59.4272N
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- ISSN
- 13474073
- 00319015
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- MRID
- 1089576
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- NDL BIB ID
- 3687898
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed