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JNS
2010
13 years 4 months ago
2010
Quasipatterns (two-dimensional patterns that are quasiperiodic in any spatial direction) remain one of the outstanding problems of pattern formation. As with problems involving qu...
JNS
2010
13 years 4 months ago
2010
This paper is concerned with the Becker-D¨oring (BD) system of equations and their relationship to the Lifschitz-Slyozov-Wagner (LSW) equations. A diffusive version of the LSW eq...
JNS
2007
13 years 5 months ago
2007
We study the topology of quasiperiodic solutions of the vortex filament equation in a neighborhood of multiply covered circles. We construct these solutions by means of a sequence...
JNS
2007
13 years 5 months ago
2007
We show that a soliton scattered by an external delta potential splits into two solitons and a radiation term. Theoretical analysis gives the amplitudes and phases of the reflecte...
JNS
2010
13 years 4 months ago
2010
We study soliton solutions to the nonlinear Schr¨odinger equation (NLS) with a saturated nonlinearity. NLS with such a nonlinearity is known to possess a minimal mass soliton. We ...