Three-dimensional Korteweg-de Vries equation and traveling wave solutions.
Jones, Kenneth L. (2000)
International Journal of Mathematics and Mathematical Sciences
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Jones, Kenneth L. (2000)
International Journal of Mathematics and Mathematical Sciences
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Angulo Pava, Jaime (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Harris, Shirley E., Clarkson, Peter A. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Parkes, E.John (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Vaidya, A., Sparling, A.J. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Pişcoran, Laurian (2007)
Acta Universitatis Apulensis. Mathematics - Informatics
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Karoline Johansson, Stevan Pilipović, Nenad Teofanov, Joachim Toft (2012)
Publications de l'Institut Mathématique
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V. Georgiev, K. Ianakiev (1992)
Banach Center Publications
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Mihai Mariş (2010)
Journées Équations aux dérivées partielles
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This text is a survey of recent results on traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity. We present the existence, nonexistence and stability results and we describe the main ideas used in proofs.
T. Alazard, N. Burq, C. Zuily (2011)
Journées Équations aux dérivées partielles
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The purpose of this talk is to present some recent results about the Cauchy theory of the gravity water waves equations (without surface tension). In particular, we clarify the theory as well in terms of regularity indexes for the initial conditions as fin terms of smoothness of the bottom of the domain (namely no regularity assumption is assumed on the bottom). Our main result is that, following the approach developed in [, ], after suitable para-linearizations, the system can be arranged...