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- W1567230665 abstract "Initial value problem of the unstable nonlinear Schrödinger (UNS) equation i u x + u t t -2| u |^2u=0 w i t h b o u n d a r y c o n d i t i o n |u|→1 (x→±∞), i s s o l v e d b y t h e i n v e r s e s c a t t e r i n g m e t h o d . A s a n a p p l i c a t i o n , d a r k s o l i t o n s o l u t i o n s a r e o b t a i n e d . P o s i t i o n s h i f t d u e t o a c o l l i s i o n o f t w o s o l i t o n s i s s h o w n t o b e a t t r a c t i v e ( r e s . r e p u l s i v e ) w h e n t h e d i r e c t i o n s o f t h e i r v e l o c i t i e s a r e o p p o s i t e ( r e s . s a m e ). I t i s a l s o s h o w n t h a t t h e U N S e q u a t i o n h a s a n i n f i n i t e n u m b e r o f c o n s e r v e d q u a n t i t i e s ." @default.
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- W1567230665 date "1991-09-15" @default.
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- W1567230665 title "The Unstable Nonlinear Schrödinger Equationand Dark Solitons" @default.
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- W1567230665 doi "https://doi.org/10.1143/jpsj.60.2862" @default.
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