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Higher-dimensional nonlinear integrable equations: Asymptotics of solutions and perturbations - MaRDI portal

Higher-dimensional nonlinear integrable equations: Asymptotics of solutions and perturbations (Q2487429)

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Higher-dimensional nonlinear integrable equations: Asymptotics of solutions and perturbations
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    Higher-dimensional nonlinear integrable equations: Asymptotics of solutions and perturbations (English)
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    5 August 2005
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    The survey is devoted to the analysis of solutions of (2+1)D integrable equations -- Kadomtsev-Petviashvili, Davey-Stewartson, Ishimori ones. Using the inverse scattering transform method the author studies temporal asymptotics of decreasing solutions and formal asymptotic solutions for perturbations of solutions to Davey-Stewartson equations.
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    Kadomtsev-Petviashvili equations
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    Davey-Stewartson equations
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    Ishimori equations
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    inverse scattering transform method
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