Properties of Conservation Laws of Nonlinear Evolution Equations
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概要
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A systematic method is developed for evaluating conservation laws of nonlinearevolution equations (NEE's) by employing the time parts of the Bicklund transforma-lions. The properties of conservation laws are then investigated in detail to obtain theinformations about the structure of NEE's themselves. In particular, we focus our at-tention on the independence of conservation laws. The NEE's considered in thispaper are the Boussinesq equation, a model equation for shall<cw-water waves due toHirota and Satsuma, the Sawada-Kotera and the Kaup equations and the Ito equa-lion. For all these equations, the inverse scattering transform problems have not beenfully solved since the associated isospectral equations become higher-order ones incomparison with the usual Schr6dinger equation.[nonlinear evolution equation, soliton, conservation law, Bficklund transforma- ll tionl
- 社団法人日本物理学会の論文
- 1990-09-15
著者
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Matsuno Yoshimasa
Department Of Applied Science Faculty Of Engineering Yamaguchi University
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Matsuno Yoshimasa
Department Of Physics Faculty Of Liberal Arts Yamaguchi University
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