Wave beams in an inhomogeneous medium with saturated nonlinearity (Q1114482)
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scientific article; zbMATH DE number 4083105
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wave beams in an inhomogeneous medium with saturated nonlinearity |
scientific article; zbMATH DE number 4083105 |
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Wave beams in an inhomogeneous medium with saturated nonlinearity (English)
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1988
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Explicit asymptotical formulas for wave beams in a strongly nonlinear and weakly inhomogeneous three-dimensional medium with saturated nonlinearity are obtained. These formulas describe the evolution of these beams. Two methods for determination of the axial line of the beam are found: the Cauchy problem method and a variational principle which contains the total beam intensity as a parameter.
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one parameter Fermat principle
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nonlinear Helmholtz equation
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nonlinear Schrödinger equation
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Explicit asymptotical formulas
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wave beams
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strongly nonlinear and weakly inhomogeneous three-dimensional medium
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saturated nonlinearity
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Cauchy problem method
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variational principle
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total beam intensity
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