Pole Distribution and Steady Pulse Solution of the Fifth Order Korteweg-de Vries Equation
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概要
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The relation between the pole distribution and the steacly pulse solution is in-vestigated for the fifth order Korteweg-de Vries equation (in short FKDV eq.):u.-fauu.-I-f3u..A-yu,.=0. Poles are generally found to distribute fractally and toform a natural boundary; which has been observed clearly in computation, when thesteady pulse has a prominent oscillatory tail structure. Periodic distribution of polesare found for some specific cases where the solu1.ions are represented by hyperbolicfunctions. New analytic solutions with periodic distribution of poles are found. Theconcept of 'base poles' is introduced and its relation to the tail part of a pulse isclarified.pole distribution, steady pulse, natural boundary, Painleve property
- 社団法人日本物理学会の論文
- 1989-01-15
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