Solutions with expanding compact support of saturated Schrodinger equations: self-similar solutions
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 equat...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2025-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2025/53/abstr.html |
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