Negative Order KdV Equation with No Solitary Traveling Waves

Miguel Rodriguez, Jing Li and Zhijun Qiao
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Miguel Rodriguez: School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, Edinburg, TX 78539, USA
Jing Li: Interdisciplinary Research Institute, Faculty of Science, Beijing University of Technology, Beijing 100124, China
Zhijun Qiao: School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, Edinburg, TX 78539, USA

Mathematics, 2021, vol. 10, issue 1, 1-20

Abstract: 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.

Keywords: integrable systems; KdV hierarchy; traveling waves (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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