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Solutions with expanding compact support of saturated Schrodinger equations: self-similar solutions

Year: 2025

Type: article

Abstract: We prove the existence of solutions $u(t,x)$ of the Schrodinger equation with a saturation nonlinear term $(u/|u|)$ having compact support, for each $t>0$, that expands with a growth law of the type $C\sqrt{t}$. The primary tool is considering the self-similar solution of the associated equation.

Source: DOAJ (DOAJ: Directory of Open Access Journals)

Authors: Pascal Begout, Jesus Ildefonso Diaz

Institutions: Université Toulouse Capitole, Universidad Complutense de Madrid

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7108001692

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