Application of inverse scattering method to singular solutions of nonlinear equations. III (Q1071958)
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scientific article; zbMATH DE number 3939871
| Language | Label | Description | Also known as |
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| English | Application of inverse scattering method to singular solutions of nonlinear equations. III |
scientific article; zbMATH DE number 3939871 |
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Application of inverse scattering method to singular solutions of nonlinear equations. III (English)
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1984
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[Part II, cf. ibid. 54, 12-22 (1983; see the preceding review).] An existence and uniqueness theorem is proved for the solution of the Cauchy problem for the nonlinear Schrödinger equation with repulsion in the class of functions with singularities of the type \(x^{-1}\). The behavior of the singularity lines of the solution in the (x,t) plane is described.
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asymptotic behaviour
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uniqueness theorem
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Cauchy problem
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nonlinear Schrödinger equation
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singularities of the type \(x^{-1}\)
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