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• W2036853669 abstract "We present new singular solutions of the biharmonic nonlinear Schrodinger equation in dimension d and nonlinearity exponent 2sigma+1. These solutions collapse with the quasi self-similar ring profile, with ring width L(t) that vanishes at singularity, and radius proportional to L^alpha, where alpha=(4-sigma)/(sigma(d-1)). The blowup rate of these solutions is 1/(3+alpha) for 4/dlesigma<4, and slightly faster than 1/4 for sigma=4. These solutions are analogous to the ring-type solutions of the nonlinear Schrodinger equation." @default.
• W2036853669 created "2016-06-24" @default.
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• W2036853669 date "2010-10-04" @default.
• W2036853669 modified "2023-09-27" @default.
• W2036853669 title "Ring-type singular solutions of the biharmonic nonlinear Schrödinger equation" @default.
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• W2036853669 doi "https://doi.org/10.1088/0951-7715/23/11/008" @default.
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