Stationary, oscillatory and solitary wave type solution of singular nonlinear schrödinger equations
- 1 January 1986
- journal article
- research article
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 8 (1) , 559-575
- https://doi.org/10.1002/mma.1670080136
Abstract
It is proven that for a certain class of singular nonlinear Schrödinger equations there exist stationary ground state and oscillatory solutions. Furthermore the existence of those solitary wave type solutions is considered which do not necessarely vanish at infinity. The results are applied to problems from plasma physics; to superfluid films, and to the Heisenberg ferromagnet spin chain.Keywords
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