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GENERAL SOLITON SOLUTIONS OF THE NLS+ EQUATION UNDER NON-VANISHING BOUNDARY CONDITION
CHEN ZONG-YUN, LI ZAI-GUANG, HUANG NIAN-NING
1994, 3 (1):
1-17.
doi: 10.1088/1004-423X/3/1/001
Abstract
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PDF (295KB)
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For the NLS+ equation under nonvanishing boundary condition, to avoid complexity due to Riemann surface, required for double-valued function of the usual spectral parameter, starting from a particular auxiliary spectral parameter, a special inverse scattering method is systematically developed, and explicit expressions of the general multi-soliton solutions are successfully obtained. Asymptotic behaviors of the muiti-soliton solutions, additional displacement of center and additional phase shift of the peak are derived. When the boundary value approaches zero, all the formulas become the known ones naturally.
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