Mathematical Physics

    

Soliton Solutions of the Nonlinear Schrödinger Equation

Authors: Marcello Colozzo

We integrate the nonlinear Schrödinger differential equation, looking for "lone wave" solutions, and then use the method ofindeterminate coefficients.The integration is in closed form for the free particle, and then we integrate numerically for the particle subject to a weak periodic potential. In both cases, the system is one-dimensional.

Comments: 5 Pages.

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Submission history

[v1] 2024-10-28 19:14:50

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