We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Asymptotic Multiphase Solitonlike Solutions of the Cauchy Problem for a Singularly Perturbed Korteweg-de-Vries Equation with Variable Coefficients.
- Authors
Samoylenko, V.; Samoylenko, Yu.
- Abstract
We describe the set of initial conditions under which the Cauchy problem for a singularly perturbed Korteweg-de-Vries equation with variable coefficients has an asymptotic multiphase solitonlike solution. The notion of manifold of initial values for which the above-mentioned solution exists is proposed for the analyzed Cauchy problem. The statements on the estimation of the difference between the exact and constructed asymptotic solutions are proved for the Cauchy problem.
- Subjects
SOLITONS; CAUCHY problem; MATHEMATICAL singularities; PERTURBATION theory; KORTEWEG-de Vries equation; MATHEMATICAL variables; COEFFICIENTS (Statistics)
- Publication
Ukrainian Mathematical Journal, 2015, Vol 66, Issue 12, p1842
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-015-1055-7