Post-Gaussian variational method for the nonlinear Schrödinger equation: Soliton behavior and blowup

DOI10.1016/0167-2789(93)90129-OzbMath0807.35133arXivhep-ph/9210234OpenAlexW1967291352MaRDI QIDQ1315975

Carlo Lucheroni, Fred Cooper, Pasquale Sodano, Harvey Shepard

Publication date: 17 March 1994

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-ph/9210234

zbMATH Keywords

nonlinear Schrödinger equationDirac's time-dependent variational principle

Mathematics Subject Classification ID

Variational inequalities (49J40) NLS equations (nonlinear Schrödinger equations) (35Q55)

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Cites Work

• On the bound states of the nonlinear Schrödinger equation with a linear potential
• The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence
• Hamiltonian formulation of time-dependent variational principles for the many-body system
• Integrable Models
• Unnamed Item