Solitons and the Motion of Helical Curves
摘要:
Various nonlinear evolution equations that have been solved by the two-component inverse-scattering method are shown to be associated with the motion of certain simple types of helical curves. The linear eigenvalue problem that is usually postulated for solving these equations is found to follow quite incidentally from the standard intrinsic equations that govern the motion of space curves
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关键词:
Theoretical or Mathematical/ nonlinear equations solitons/ helical curves nonlinear Schrodinger equation nonlinear equations solitons sine Gordon equation Korteweg de Vries equations/ A0230 Function theory, analysis
DOI:
10.1103/PhysRevLett.37.235
被引量:
年份:
1976
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