On the Nonexistence of Soliton Solutions of the Regularized Long-Wave Equation

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概要

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• The regularized long wave equation (RLW) was proposed as a model of the dynamics of longnonlinear surface waves with srnall amplitvrdes. The standard model in this domain is theKorteweg-de Vries equation (KdV) and it has been shown that these equations are predictivelyeqtmivalent to the order of approximation used in their derivations. On the other hand, numericalcomputations indicate that the RLW has no naultisoliton solutions and it is generally conjecturedthat it is not a soliton equation. In this paper we prove that the equation has no analytic two-soliton solutions.

• 社団法人日本物理学会の論文
• 1996-08-15

著者

• Bryan A.c.

  Department Of Mathematics City University

• STUART A.E.G

  Department of Mathematics,City University

• Stuart A.E.G.

  Department of Mathematics,The City University

• Stuart A.E.G.

  Department of Mathematics,City University

関連論文

• A Linear Superposition Formula for the Sine-Gordon Multisoliton Solutions
• On the Nonexistence of Soliton Solutions of the Regularized Long-Wave Equation

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