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Non-uniform continuity of periodic Holm-Staley b-family of equations
Ognyan Christov, Sevdzhan Hakkaev, Iliya D. Iliev
We consider a family of non-evolutionary partial differential equations known as Holm - Staley b - family which includes the integrable Camassa-Holm and Degasperis-Procesi equation…
Stability of periodic traveling waves for complex modified Korteweg-de Vries equation
Sevdzhan Hakkaev, Iliya D. Iliev, Kiril Kirchev
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…
Stability of periodic travelling shallow-water waves determined by Newton's equation
Sevdzhan Hakkaev, Iliya D. Iliev, Kiril Kirchev
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…