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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Displaying similar documents to “Constructing soliton and kink solutions of PDE models in transport and biology.”
Painlevé analysis and similarity reductions for the magma equation.
Classical solutions of the perturbed wave equation with singular potential.
Vaidya, A., Sparling, A.J. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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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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On the uniqueness of ground states of non-local equations
Rupert L. Frank (2011)
Journées Équations aux dérivées partielles
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We review our joint result with E. Lenzmann about the uniqueness of ground state solutions of non-linear equations involving the fractional Laplacian and provide an alternate uniqueness proof for an equation related to the intermediate long-wave equation.
Two-field integrable evolutionary systems of the third order and their differential substitutions.
Meshkov, Anatoly G., Balakhnev, Maxim Ju. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Kink-antikink interaction for semilinear wave equations with a small parameter.
Garcia, Martin G., Omel'yanov, Georgii A. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Exact solutions and symmetry operators for the nonlocal Gross-Pitaevskii equation with quadratic potential.
Shapovalov, Alexander, Trifonov, Andrey, Lisok, Alexander (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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A mathematical aspect for Liesegang phenomena
Ohnishi, Isamu, Mimura, Masayasu
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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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