Bibliographic Details
| Title: |
Existence and stability of solitary waves for the inhomogeneous NLS. |
| Authors: |
Ramadan, Abba1 (AUTHOR) aramadan@ku.edu, Stefanov, Atanas G.1 (AUTHOR) stefanov@ku.edu |
| Source: |
Physica D. Dec2020, Vol. 414, pN.PAG-N.PAG. 1p. |
| Subjects: |
Schrödinger equation, Dispersion (Chemistry), Equations |
| Abstract: |
In this paper, we identify necessary and sufficient conditions for the existence of appropriately localized waves for the inhomogeneous semi-linear Schrödinger equation driven by the subLaplacian dispersion operators (− Δ) s , 0 < s ≤ 1. We construct these waves and we establish sharp asymptotics, both at the singularity 0 and for large values. We show the non-degeneracy of these waves. Finally, we provide spectral and orbital stability classification, under slightly more restrictive assumptions. • We have constructed the solitary waves for the inhomogeneous Sobolev equation, subject to a fractional dispersion. • We have identified necessary and sufficient conditions under which appropriately localized solitary waves exist. • We have classified the stability of solitary waves, for all values of the parameter space. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
