The Small Dispersion Limit of the Benjamin-Ono Equation and the Evolution of a Step Initial Condition
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概要
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The soltrtion of the Benjazaain-Ono eqtration is presented for a step initial condition. Thissoltrtion uaaodels the evoltrtion of an inaternal bore wave in deep [1trids. The XVlaith,.rraa uaaodtrlatiotatheory is trsed to constrtrct the as)'ztaptotic soltttion xvhich provides an acctrrate description ofthe xvave exxoltrtion ira tl?e sraaall dispersion lirnit. It is slaown that the initial step profile exzolvesinto a train of solitary xvaves atad the total ntrtaaber of created solitar'y xvaves increases xvithotntlinait in proportion to tiuaae. Tlae anaaplittrde of tlae leading solitary' XVdX70is then fotrnd to be fotrrtitaues the araaplittrde of' the initial step.
- 社団法人日本物理学会の論文
- 1998-06-15
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