𝔖 Bobbio Scriptorium
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Stationary, oscillatory and solitary wave type solution of singular nonlinear schrödinger equations

✍ Scribed by L. Brüll; H. Lange; E. de Jager


Book ID
112143972
Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
637 KB
Volume
8
Category
Article
ISSN
0170-4214

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New singular solutions of the nonlinear
✍ Gadi Fibich; Nir Gavish; Xiao-Ping Wang 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 1004 KB

We present numerical simulations of a new type of singular solutions of the critical nonlinear Schrödinger equation (NLS), that collapse with a quasi self-similar ring profile at a square root blowup rate. We find and analyze the equation of the ring profile. We observe that the self-similar ring pr