Asymmetric bound states of differential equations in nonlinear optics
A. Ambrosetti, D. Arcoya, J. L. Gámez (1998)
Rendiconti del Seminario Matematico della Università di Padova
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A. Ambrosetti, D. Arcoya, J. L. Gámez (1998)
Rendiconti del Seminario Matematico della Università di Padova
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Stubbe, Joachim (1989)
Portugaliae mathematica
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Ph. Blanchard, J. Stubbe, L. Vázquez (1987)
Annales de l'I.H.P. Physique théorique
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Nikolay Tzvetkov (2003-2004)
Séminaire Bourbaki
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In a series of recent papers, Martel and Merle solved the long-standing open problem on the existence of blow up solutions in the energy space for the critical generalized Korteweg- de Vries equation. Martel and Merle introduced new tools to study the nonlinear dynamics close to a solitary wave solution. The aim of the talk is to discuss the main ideas developed by Martel-Merle, together with a presentation of previously known closely related results.
Hakkaev, Sevdzhan (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 35B35, 35B40, 35Q35, 76B25, 76E30. This paper concerns the orbital stability and instability of solitary waves of the system of coupling equations of Benjamin-Bona-Mahony type. By applying the abstract results of Grillakis, Shatah and Strauss and detailed spectral analysis, we obtain the existence and stability of the solitary waves. Partially Supported by Grant MM-810/98 of MESC and by Scientefic Research Grant 19/12.03.2003...
Mathieu Colin, Masahito Ohta (2006)
Annales de l'I.H.P. Analyse non linéaire
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Yue Liu, Masahito Ohta, Grozdena Todorova (2007)
Annales de l'I.H.P. Analyse non linéaire
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