Some exact solutions of a system of nonlinear Schrödinger equations in three-dimensional space (Q1109990)
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scientific article; zbMATH DE number 4071542
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some exact solutions of a system of nonlinear Schrödinger equations in three-dimensional space |
scientific article; zbMATH DE number 4071542 |
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Some exact solutions of a system of nonlinear Schrödinger equations in three-dimensional space (English)
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1987
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Most general interaction terms are constructed which reduce the symmetry group of the nonrelativistic Schrödinger equations to its one-parameter subgroups. Ansätze of invariant solutions of the Galilei-invariant Schrödinger equations and corresponding systems of reduced equations in terms of invariant variables are found. Some exact solutions of the system of nonlinear Schrödinger equations are obtained in three-spatial dimensions for the case of the generalised Hubbard model.
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interaction terms
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symmetry group
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nonrelativistic Schrödinger equations
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one-parameter subgroups
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invariant solutions
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exact solutions
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nonlinear Schrödinger equations
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Hubbard model
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