Variational statement of the Schrödinger equation with a nonstationary nonlinearity and its integrals of motion (Q1734718)
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scientific article; zbMATH DE number 7043436
| Language | Label | Description | Also known as |
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| English | Variational statement of the Schrödinger equation with a nonstationary nonlinearity and its integrals of motion |
scientific article; zbMATH DE number 7043436 |
Statements
Variational statement of the Schrödinger equation with a nonstationary nonlinearity and its integrals of motion (English)
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27 March 2019
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The authors consider a system of equations which model the propagation of super short laser radiation in a nonlinear medium. This system includes a nonlinear and nonlocal Schrödinger equation with cubic nonlinearity. The system under consideration is not Lagrangian. A variational formulation of the problem is posed, and an inverse variational problem is solved by using integrating factors. Generalized conservation laws are also obtained.
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nonlinear Schrodinger equation
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conservation law
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variational formulation
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cubic nonlinearity
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