Systems of equations of n-waves and nonlinear Schrödinger equations from the group-theoretical point of view

DOI10.1007/BF01038083zbMath0547.35112MaRDI QIDQ798892

Anatoliy V. Zhiber

Publication date: 1983

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

system of nonlinear Schrödinger equationsgroup-theoretical analysiscommutative Lie algebras of conservation lawsLie-Bäcklund algebrassystem of equations of n-waves

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Cites Work

• Explicit solutions of some completely integrable Hamiltonian systems
• Integrals of nonlinear equations of evolution and solitary waves

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