Integrals of motion of the Korteweg–de Vries equation in a class of steplike solutions

Authors

  • K. M. Andreiev B. I. Verkin Institute for Low Temperature Physics and Engineering of the NAS of Ukraine, Kharkiv

DOI:

https://doi.org/10.15407/dopovidi2016.09.007

Keywords:

integrals of motion, Korteweg–de Vries equation, scattering data

Abstract

We study the Cauchy problem for the Korteweg–de Vries with steplike initial data. The regilarized integrals of motion are constructed and expressed via associated scattering data of the Schrödinger equation.

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References

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Published

19.11.2024

How to Cite

Andreiev, K. M. (2024). Integrals of motion of the Korteweg–de Vries equation in a class of steplike solutions . Reports of the National Academy of Sciences of Ukraine, (9), 7–13. https://doi.org/10.15407/dopovidi2016.09.007

Issue

No. 9 (2016): Reports of the National Academy of Sciences of Ukraine

Section

Mathematics

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