Lie symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities

zbMath1147.35093arXiv0801.1437MaRDI QIDQ928332

Pedro J. Torres, Juan Belmonte-Beitia, Víctor M. Pérez-García, Vadim E. Vekslerchik

Publication date: 18 June 2008

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.1437

zbMATH Keywords

dynamical systemssolitonsnonlinear Schrödinger equationsLie symmetries

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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