Mathematics, Vol. 10, Pages 48: Negative Order KdV Equation with No Solitary Traveling Waves

Mathematics doi: 10.3390/math10010048

Miguel Rodriguez
Jing Li
Zhijun Qiao

We consider the negative order KdV (NKdV) hierarchy which generates nonlinear integrable equations. Selecting different seed functions produces different evolution equations. We apply the traveling wave setting to study one of these equations. Assuming a particular type of solution leads us to solve a cubic equation. New solutions are found, but none of these are classical solitary traveling wave solutions.

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