The Role of the Korteweg-de Vries Hierarchy in the N-Soliton Dynamics of the Shallow Water Wave Equation
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概要
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We apply a multiple-time xzersion of the reductive perturbation method to study long wavesas governed by the shallow water wave model equation. As a consequence of the requirementof a secularity-free perturbation theory, we show that the well known N-soliton dynanaics of theshallow water wave equation, in the particular case of a -:: 2/3, can be reduced to the N-solitonsolution that satisfies simultaneously all equations of the Korteweg-de Vries hierarchy.
- 社団法人日本物理学会の論文
- 1997-05-15
著者
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Manna Miguel
Physique Mathematique Et Theorique Upres-a 5032 Universite De Montpellier 2
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Pereira Jose
Instituto De Fisica Teorica Universidade Estadual Paulista
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KRAENKEL Roberto
Instituto de Fisica Teorica,Universidade Estadual Paulista
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NANNA Miguel
Physique Mathematique et Theorique
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MONTERO Juan
Instituto de Fisica Teorica,Universidade Estadual Paulista
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Montero Juan
Instituto De Fisica Teorica Universidade Estadual Paulista
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Kraenkel Roberto
Instituto De Fisica Teorica Universidade Estadual Paulista