Modeling the interaction among solitons in optical fibers using wavelets

✍ Scribed by Lee Zhengbin; Fu Jumei; Feng Engxin

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 197 KB
• Volume: 17
• Category: Article
• ISSN: 0895-2477
• DOI: 10.1002/(sici)1098-2760(199803)17:4<250::aid-mop9>3.0.co;2-h

✦ Synopsis

A new numerical method for the interactions among the multisolitons propagating along monomode optical fibers is presented. On the basis of the deri¨ati¨e function belonging to the Sobole¨space

(2) ( ) 2 ( ) and under the norm of L I , the base in the Sobole¨space S I is the (2) ( ) one in space L I , by which the deri¨ati¨e operator can be approximately expressed by a wa¨elet matrix. We use the operator to act on the time ¨ariable in the nonlinear Schrodinger equation go¨erning the propa-gating soliton, and obtain a new, simple iterati¨e equation for solitons propagating in optical fiber. The results obtained are similar to those reported in the references, so this method is effecti¨e.