Negative Order KdV Equation with No Solitary Traveling Waves
Miguel RodriguezSchool of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, Edinburg, TX 78539, USAJing LiInterdisciplinary Research Institute, Faculty of Science, Beijing University of Technology, Beijing 100124, ChinaZhijun QiaoSchool of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, Edinburg, TX 78539, USA
2021en
ABI
Аннотация
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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