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

Abstract:

We consider the initial value problem for the forced one dimensional nonlinear Schrödinger equation (NLS), where the forcing is assumed to be fast compared to the evolution of the unforced equation. This suggests the introduction of two time scales. Solutions to the forced NLS are sought by expressing the dependent variable in modulus-phase form and expanding in powers of a small parameter, which is inversely related to the forcing time scale. This system is similar to a forced eikonal-transp...

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Newton, PK More by this author
Journal:
Journal of Mathematical Physics
Volume:
36
Issue:
9
Pages:
4923-4939
Publication date:
1995
ISSN:
0022-2488
URN:
uuid:215a5bf6-a654-4f28-bfd5-1f67be9b3fd5
Source identifiers:
133325
Local pid:
pubs:133325
Language:
English

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