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Explicit solutions for a system of nonlinear Schrödinger equations with delta functions as initial data. (English) Zbl 1424.35312

The authors study a system of nonlinear Schrödinger equations with intial conditions depending on delta functions. They seek a solution of a particular form. By deriving a conservation law, they obtain an explicit solution of this form by using only elementary calculus. The global behaviour of this solution is easily deduced from the explicit form.

MSC:

35Q55 NLS equations (nonlinear Schrödinger equations)
34A05 Explicit solutions, first integrals of ordinary differential equations
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