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Your search keyword '"Kirchev, Kiril P."' showing total 8 results
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8 results on '"Kirchev, Kiril P."'

1. Stability of periodic traveling waves for the quadratic and cubic nonlinear Schr\'odinger equations

Author

Hakkaev, Sevdzhan, Iliev, Iliya D., and Kirchev, Kiril

Subjects
Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematics - Analysis of PDEs, 35Q55
Abstract

We study the existence and stability of periodic traveling-wave solutions for the quadratic and cubic nonlinear Schr\"odinger equations in one space dimension., Comment: 31 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:0910.5610 and with arXiv:1012.3065

Published
2011

2. Stability of periodic traveling waves for complex modified Korteweg-de Vries equation

Author

Hakkaev, Sevdzhan, Iliev, Iliya D., and Kirchev, Kiril

Subjects
Nonlinear Sciences - Exactly Solvable and Integrable Systems
Abstract

We study the existence and stability of periodic traveling-wave solutions for complex modified Korteweg-de Vries equation. We also discuss the problem of uniform continuity of the data-solution mapping., Comment: Latex, 20 pages

Published
2009

3. Stability of periodic travelling shallow-water waves determined by Newton's equation

Author

Hakkaev, Sevdzhan, Iliev, Iliya D., and Kirchev, Kiril

Subjects
Nonlinear Sciences - Exactly Solvable and Integrable Systems
Abstract

We study the existence and stability of periodic travelling-wave solutions for generalized Benjamin-Bona-Mahony and Camassa-Holm equations. To prove stability, we use the abstract results of Grillakis-Shatah-Strauss and the Floquet theory for periodic eigenvalue problems., Comment: 35 pages, no figures

Published
2007
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