Quasi-Rational Solutions to the Seventh Equation of the NLS Hierarchy
Pierre Gaillard *
Universit ´e de Bourgogne Franche Comt´ e, Institut de Math´ematiques de Bourgogne,9 avenue Alain Savary BP 47870, 21078 Dijon Cedex, France.
*Author to whom correspondence should be addressed.
Abstract
The following study is part of a research program of rational solutions of the hierarchy of the nonlinear Schrodinger equation. Here, we are interested in the equation of order 7 and we highlight particular solutions providing the first orders of rogue waves not yet found.
Keywords: NLS hierarchy, quasi-rational solutions