Numerical Investigation of a Class of Nonlinear Schrödinger Equations | Zendy

Christopher Ventura | Zendy

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Numerical Investigation of a Class of Nonlinear Schrödinger Equations

Author(s) -

Christopher Ventura

Publication year - 2004

Publication title -

american journal of undergraduate research

Language(s) - English

Resource type - Journals

eISSN - 2375-8732

pISSN - 1536-4585

DOI - 10.33697/ajur.2004.015

Subject(s) - nonlinear system , singularity , node (physics) , class (philosophy) , mathematics , space (punctuation) , mathematical analysis , function (biology) , nonlinear schrödinger equation , schrödinger equation , classical mechanics , physics , quantum mechanics , computer science , artificial intelligence , evolutionary biology , biology , operating system

This paper numerically investigates the space-localized spherically symmetric, stationary, and singularity-free solutions of the Nonlinear Schrodinger equation when the nonlinearity is a step function. Previously no-node solutions have been obtained analytically. Here, it is shown that localized stationary solutions with one node and two nodes also exist.

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