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Stationary, oscillatory and solitary wave type solution of singular nonlinear schrödinger equations
Author(s) -
Brüll L.,
Lange H.,
de Jager E.
Publication year - 1986
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670080136
Subject(s) - mathematics , type (biology) , nonlinear system , infinity , superfluidity , schrödinger's cat , mathematical analysis , ground state , mathematical physics , stationary state , class (philosophy) , schrödinger equation , physics , quantum mechanics , ecology , artificial intelligence , computer science , biology
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.