Symmetry approach for a three coupled Schrödinger equation system

DOI10.1016/J.AMC.2008.07.006zbMath1161.35498OpenAlexW2045487158MaRDI QIDQ2378936

A. Catania, Rita Tracinà, Mariano Torrisi

Publication date: 14 January 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.07.006

zbMATH Keywords

Schrödinger equationsexact solutionssymmetries

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)

Related Items (1)

A new type of conserved quantity induced by symmetries of Lagrange system

Cites Work

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• Integrability and singularity structure of coupled nonlinear Schrödinger equations.
• Equivalence transformations and symmetries for a heat conduction model
• Nonclassical reductions of a \((3+1)\)-cubic nonlinear Schrödinger system
• Symmetry classes of variable coefficient nonlinear Schrodinger equations
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries

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