Painlevé analysis and similarity reductions for the magma equation.
Harris, Shirley E., Clarkson, Peter A. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [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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Vaidya, A., Sparling, A.J. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Marija Kujumdzieva-Nikoloska, Jordanka Mitevska (2005)
Kragujevac Journal of Mathematics
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XS. Feng, F. Wei (1995)
Annales Polonici Mathematici
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We establish the global existence and uniqueness of smooth solutions to a nonlinear Alfvén wave equation arising in a finite-beta plasma. In addition, the spatial asymptotic behavior of the solution is discussed.
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.
Benjamin Texier (2005)
Journées Équations aux dérivées partielles
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Boni, Theodore K., Nabongo, Diabate, Sery, Roger B. (2008)
The Journal of Nonlinear Sciences and its Applications
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Serge Alinhac (2002)
Journées équations aux dérivées partielles
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The aim of this mini-course is twofold: describe quickly the framework of quasilinear wave equation with small data; and give a detailed sketch of the proofs of the blowup theorems in this framework. The first chapter introduces the main tools and concepts, and presents the main results as solutions of natural conjectures. The second chapter gives a self-contained account of geometric blowup and of its applications to present problem.
Gorman, Arthur D., Yang, Huijun (2001)
International Journal of Mathematics and Mathematical Sciences
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Gama, Silvio Marques A., Smirnov, Gueorgui (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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