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Title

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

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
Description

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.
Subjects

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