Single soliton solution to the extended KdV equation over uneven depth
In this note we look at the influence of a shallow, uneven riverbed on a soliton. The idea consists in an approximate transformation of the equation governing wave motion over an uneven bottom to an equation for a flat one for which the exact solution exists. The calculation is one space dimensional, and so corresponds to long trenches or banks under wide rivers or oceans.
KeywordsFlowing matter: Nonlinear Physics
- 2.E. Infeld, A. Karczewska, G. Rowlands, P. Rozmej, Exact solitonic and periodic solutions of the extended KdV equation, arXiv:1612.03847Google Scholar
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