Differential and Integral Equations

Explicit solutions for a system of nonlinear Schrödinger equations with delta functions as initial data

Kazuyuki Doi and Shoji Shimizu

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Abstract

We study a system of nonlinear Schrödinger equations with delta functions as initial data. We seek its special solution and show that it has an explicit solution. Additionally, the global behavior of the solution can be understood by making use of the explicit expression.

Article information

Source
Differential Integral Equations, Volume 32, Number 5/6 (2019), 359-367.

Dates
First available in Project Euclid: 3 April 2019

Permanent link to this document
https://projecteuclid.org/euclid.die/1554256871

Mathematical Reviews number (MathSciNet)
MR3938344

Subjects
Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10] 34A05: Explicit solutions and reductions

Citation

Doi, Kazuyuki; Shimizu, Shoji. Explicit solutions for a system of nonlinear Schrödinger equations with delta functions as initial data. Differential Integral Equations 32 (2019), no. 5/6, 359--367. https://projecteuclid.org/euclid.die/1554256871


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