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Negatons, positons, rational-like solutions and conservation laws of the Korteweg–de Vries equation with loss and non-uniformity terms

Da-jun Zhang
Deng-yuan Chen
Organization: Shaghai University
Department: Department of Mathematics
Journal / Anthology

Journal of Physics A: Mathematical and General
Year: 2004
Volume: 37
Issue: 3
Page range: 851-865

Solitons, negatons, positons, rational-like solutions and mixed solutions of a non-isospectral equation, the Korteweg–de Vries equation with loss and non-uniformity terms, are obtained through the Wronskian technique. The non-isospectral characteristics of the motion behaviours of some solutions are described with some figures made by using Mathematica. We also derive an infinite number of conservation laws of the equation.

*Science > Physics > Fluid Mechanics
*Science > Physics > Wave Motion

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