Regularized integrals of motion for the Korteweg – de-Vries equation in the class of nondecreasing functions
We study the Cauchy problem for the Korteweg–de-Vries equation in the class of functions approaching a finite- zone periodic solution of the KdV equation as $x → −∞$ and 0 as $x → +∞$. We prove the existence of infinitely many “regularized” integrals of motion for the solutions $u(x, t)$ of the Cauc...
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| Date: | 2015 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2015
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2093 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |