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- Title
Regularized Integrals of Motion for the Korteweg-De-Vries Equation in the Class of Nondecreasing Functions.
- Authors
Andreev, K.; Khruslov, E.
- Abstract
We study the Cauchy problem for the Korteweg-de-Vries equation in the class of functions approaching a finite-zone periodic solution of the Korteweg-de-Vries 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 Cauchy problem with explicit dependence on time.
- Subjects
KORTEWEG-de Vries equation; INTEGRALS; NUMERICAL solutions to the Cauchy problem; MATHEMATICAL analysis; MATHEMATICAL functions
- Publication
Ukrainian Mathematical Journal, 2016, Vol 67, Issue 12, p1793
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-016-1191-8