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Boundary value problems for the nonlinear Schrodinger equation on the halfline in laboratory coordinates are considered. A class of boundary conditionsthat lead to linearizable problems is identified by introducing appropriateextensions to initial-value problems on the infinite line, either explicitly orby constructing a suitable Backlund transformation. Various soliton solutionsare explicitly constructed and studied.

Linearizable boundary value problems for the nonlinear Schrodinger equation in laboratory coordinates