Bilinearization of Nonlinear Evolution Equations
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概要
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A new method for transforming the Lax hierarchy .of nonlinear evolutionequations u.= - (8/8x)(l>l./6u) into bilinear forms is developed on the basis of thebilinear transformation method, and the structure of these equations is clarified,where I. is the n-th conserved quantity of some nonlinear evolution equation andIt/c>u denotes the functional derivative. The explicit calculations are carried outin the case of the higher-order Korteweg-de Vries equations.
- 社団法人日本物理学会の論文
- 1980-06-15
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