Negative Order KdV Equation with No Solitary Traveling Waves

Authors

Miguel Rodriguez, The University of Texas Rio Grande Valley
Jing Li
Zhijun Qiao, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

12-24-2021

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.

Comments

© 2021 by the authors.

Recommended Citation

Rodriguez M, Li J, Qiao Z. Negative Order KdV Equation with No Solitary Traveling Waves. Mathematics. 2022; 10(1):48. https://doi.org/10.3390/math10010048

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Publication Title

Mathematics

DOI

10.3390/math10010048