Theory of integrable three-dimensional nonlinear lattice equations (Q1086738)
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scientific article; zbMATH DE number 3985722
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Theory of integrable three-dimensional nonlinear lattice equations |
scientific article; zbMATH DE number 3985722 |
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Theory of integrable three-dimensional nonlinear lattice equations (English)
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1985
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The author investigates a linear inhomogeneous system of equations, which is invariant under general type of nonlocal integral transformations. The compatibility conditions of this system lead to a general class of nonlinear integrable partial difference equations on a three-dimensional lattice in terms of its coefficients. This class includes the nonlinear Schrödinger equation, specific lattice version of the Kadomtsev- Petviashvili equation.
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linear inhomogeneous system
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invariant
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nonlocal integral transformations
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compatibility conditions
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nonlinear integrable partial difference equations
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nonlinear Schrödinger equation
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Kadomtsev- Petviashvili equation
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0.89682317
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0.8960906
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0.89165807
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0.8916342
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0.8865106
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