Multiple-Pole Solutions of the Modified Korteweg-de Vries Equation
Miki WadatiInstitute of Physics, College of General Education, University of TokyoKenji OhkumaInstitute of Physics, College of General Education, University of Tokyo
1982en
ABI
Abstract
New types of solutions of completely integrable nonlinear evolution equations are found using the inverse scattering method. For the Modified Korteweg-de Vries equation the multiple-pole solutions, i.e., the solutions which correspond to multiple-pole of the reflection coefficient are investigated. Double-pole soltuion and triple-pole solution are obtained explicitly. It is shown that those solutions describe a weak-bound state of solitons and antisolitons.
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