A numerical method for calculating solitons of the nonlinear Schödinger equation in the axially symmetric case

DOI10.3103/S0278641909030029zbMath1175.65132MaRDI QIDQ735551

O. V. Matusevich, Vyacheslav A. Trofimov

Publication date: 23 October 2009

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

zbMATH Keywords

eigenvaluestabilizationnonlinear Schrödinger equationiteration methodeigenfunctionoptical solitonsfemtosecond pulse

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Waves and radiation in optics and electromagnetic theory (78A40)

Cites Work

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• Stabilization of solitons of the multidimensional nonlinear Schrödinger equation: matter-wave breathers
• Numerical studies of stabilized Townes solitons
• Soliton Management in Periodic Systems
• Iterative method for finding the eigenfunctions of a system of two Schrödinger equations with combined nonlinearity

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