Stability of periodic traveling waves for complex modified Korteweg-de Vries equation
Sevdzhan Hakkaev, Iliya D. Iliev, Kiril Kirchev
TL;DR
This paper investigates the existence and stability of periodic traveling wave solutions for the complex modified Korteweg-de Vries equation, along with the continuity properties of the data-solution mapping.
Contribution
It provides new results on the stability and existence of solutions for the complex mKdV equation and discusses the data-solution mapping's uniform continuity.
Findings
Existence of periodic traveling wave solutions.
Stability analysis of these solutions.
Discussion on the data-solution mapping continuity.
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.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Nonlinear Waves and Solitons · Nonlinear Photonic Systems