Document Zbl 1424.35312

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Doi, Kazuyuki; Shimizu, Shoji

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

Differ. Integral Equ. 32, No. 5-6, 359-367 (2019).

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.

Reviewer: Anthony D. Osborne (Keele)

Cited in 1 Document

MSC:

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

Keywords:

Nonlinear Schrödinger equation; delta function; explicit solution; global behaviour

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