Phase-amplitude dynamics of the nonlinear Schrödinger equation with rapid forcing

DOI10.1063/1.530929zbMath0844.35118OpenAlexW2070813501MaRDI QIDQ4873364

Paul K. Newton, Irene M. Moroz

Publication date: 5 May 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530929

zbMATH Keywords

nonlinear geometrical opticsforced eikonal-transport systemforced one-dimensional nonlinear Schrödinger equationNLS standing solitary wave

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (1)

The Kadomtsev–Petviashvili equation under rapid forcing

Cites Work

• The forced nonlinear Schrödinger equation
• On the complete integrability of a nonlinear Schrödinger equation
• Forced Nonlinear Evolution Equations and the Inverse Scattering Transform
• Stability and Bifurcation of Spatially Coherent Solutions of the Damped-Driven NLS Equation
• Solution of the forced nonlinear schrödinger (nls) equation using pde techniques
• Rapidly Forced Initial Value Problems
• Integrable Equations with a Forcing of a Distribution Type
• Integrals of nonlinear equations of evolution and solitary waves

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