Periodic and solitary travelling-wave solutions of an extended reduced Ostrovsky equation.
Parkes, E.John (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Solutions classification to the extended reduced Ostrovsky equation.”
Periodic and solitary travelling-wave solutions of an extended reduced Ostrovsky equation.
An algorithm for quantum propagation through electron level crossings.
Clotilde Fermanian Kammerer, Caroline Lasser (2005)
Journées Équations aux dérivées partielles
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Constructing soliton and kink solutions of PDE models in transport and biology.
Vladimirov, Vsevolod A., Kutafina, Ekaterina V., Pudelko, Anna (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Asymptotic behaviors of internal waves
J. Bona, D. Lannes, J.-C. Saut (2008)
Journées Équations aux dérivées partielles
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We present here a systematic method of derivation of asymptotic models for internal waves, that is, for the propagation of waves at the interface of two fluids of different densities. Many physical regimes are investigated, depending on the physical parameters (depth of the fluids, amplitude and wavelength of the interface deformations). This systematic method allows us to recover the many models existing in the literature and to derive some new models, in particular in the case of large...
Solitary waves in massive nonlinear -sigma models.
Izquierdo, Alberto Alonso, León, Miguel Ángel González, De La Torre Mayado, Marina (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Application of the -expansion method for the Burgers, Fisher and Burgers–Fisher equations.
Kheiri, H., Ebadi, G. (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Resolvent estimates and the decay of the solution to the wave equation with potential
Vladimir Georgiev (2001)
Journées équations aux dérivées partielles
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We prove a weighted estimate for the solution to the linear wave equation with a smooth positive time independent potential. The proof is based on application of generalized Fourier transform for the perturbed Laplace operator and a finite dependence domain argument. We apply this estimate to prove the existence of global small data solution to supercritical semilinear wave equations with potential.
Asymptotic and numerical description of the kink/antikink interaction.
Omel'yanov, Georgii A., Segundo-Caballero, Israel (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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