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Applicable Analysis
An International Journal
Volume 41, 1991 - Issue 1-4
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Original Articles

Solution of the forced nonlinear schrödinger (nls) equation using pde techniques

Robert Carroll University of Illinois, Urbana, IL61801, U.S.A
&
Qiyue Bu University of Illinois, Urbana, IL61801, U.S.A
Pages 33-51 | Received 28 Sep 1990, Published online: 02 May 2007
 
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Abstract

It is shown that there exists a unique global classical solution u ∈ C⊃1⊃(L⊃2⊃) ∩ C°(H⊃2⊃) of the forced NLS equation (1.1) below for uo ∈ H2 and Q ∈ C2, with uo(0)=Q(0)and K real

AMS(MOS):

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Related Research Data

Long-Time Asymptotics for the Focusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions at Infinity and Asymptotic Stage of Modulational Instability
Source: Wiley
Initial boundary value problems for some nonlinear dispersive models on the half-line: a review and open problems
Source: Springer Science and Business Media LLC

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