Mathematics – Analysis of PDEs
Scientific paper
2006-11-15
Mathematics
Analysis of PDEs
submitted December 2005, revised November 2006
Scientific paper
Nonlinear Schr\"odinger (NLS) equations with focusing power nonlinearities
have solitary wave solutions. The spectra of the linearized operators around
these solitary waves are intimately connected to stability properties of the
solitary waves, and to the long-time dynamics of solutions of (NLS). We study
these spectra in detail, both analytically and numerically.
Chang Shu-Ming
Gustafson Stephen
Nakanishi Kenji
Tsai Tai-Peng
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