On the instability of solitary-wave solutions for fifth-order water wave models.
Angulo Pava, Jaime (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “Three-dimensional Korteweg-de Vries equation and traveling wave solutions.”
On the instability of solitary-wave solutions for fifth-order water wave models.
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Classical solutions of the perturbed wave equation with singular potential.
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Periodic and solitary travelling-wave solutions of an extended reduced Ostrovsky equation.
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Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity: some results and open problems
Mihai Mariş (2010)
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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.
A minicourse on global existence and blowup of classical solutions to multidimensional quasilinear wave equations
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.
The Cauchy problem for a short-wave equation.
Gama, Silvio Marques A., Smirnov, Gueorgui (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Stability of solitary wave solutions for equations of short and long dispersive waves.
Angulo Pava, Jaime (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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