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Nonlinear stability of periodic traveling wave solutions to the Schrodinger and the modified Korteweg-de Vries equations
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2007)
Sharp global well-posedness for a higher order Schrodinger equation
(Birkhauser Boston IncCambridgeEUA, 2006)
Korteweg-de Vries-Burgers Equation on a Segment
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
Stable periodic waves in coupled Kuramoto-Sivashinsky-Korteweg-de Vries equations
(Physical Society Japan, 2002-11-01)
Periodic waves are investigated in a system composed of a Kuramoto-Sivashinsky-Korteweg-de Vries (KS-KdV) equation linearly coupled to an extra linear dissipative one. The model describes, e.g., a two-layer liquid film ...
Stable periodic waves in coupled Kuramoto-Sivashinsky-Korteweg-de Vries equations
(Physical Society Japan, 2002-11-01)
Periodic waves are investigated in a system composed of a Kuramoto-Sivashinsky-Korteweg-de Vries (KS-KdV) equation linearly coupled to an extra linear dissipative one. The model describes, e.g., a two-layer liquid film ...
Stable periodic waves in coupled Kuramoto-Sivashinsky-Korteweg-de Vries equations
(Physical Society Japan, 2014)
Optimal Shape of an Underwater Moving Bottom Generating Surface Waves Ruled by a Forced Korteweg-de Vries Equation
(Springer New York LLC, 2019)
© 2018, Springer Science+Business Media, LLC, part of Springer Nature.It is well known since Wu and Wu (in: Proceedings of the 14th symposium on naval hydrodynamics, National Academy Press, Washington, pp 103–125, 1982) ...
POSITIVITY PROPERTIES OF THE FOURIER TRANSFORM AND THE STABILITY OF PERIODIC TRAVELLING-WAVE SOLUTIONS
(SIAM PUBLICATIONS, 2008)
In this paper we establish a method to obtain the stability of periodic travelling-wave solutions for equations of Korteweg-de Vries-type u(t) + u(p)u(x) - Mu(x) = 0, with M being a general pseudodifferential operator and ...
Scaling, stability and singularities for nonlinear, dispersive wave equations: the critical case
(Iop Publishing LtdBristolInglaterra, 2002)