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Strong Coupling Limit of Certain Multidimensional Nonlinear Wave Equations

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A class of multidimensional nonlinear evolution equations of physical interest are considered in the limit of strong coupling. It turns out that the initial value solution is readily obtained. In the special case of the Davey‐Stewartson equation the inverse scattering transform is shown to reduce to the obtained solution via perturbation. A number of other features are discussed as well, such as action angle variables, periodic solutions, and quantum analogues.
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Document Type: Research Article

Affiliations: Clarkson University

Publication date: June 1, 1989

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