%0 Journal Article
%T Wronskian Representation of Solutions of NLS Equation, and Seventh Order Rogue Wave
%A Pierre Gaillard
%J Journal of Modern Physics
%P 246-266
%@ 2153-120X
%D 2013
%I Scientific Research Publishing
%R 10.4236/jmp.2013.42035
%X <p align=\"justify\">
	<span style=\"font-family:Verdana;\">In this paper, we use the representation of the solutions of the focusing nonlinear Schr</span><span style=\"font-family:Verdana;\">o</span><span style=\"font-family:Verdana;\">dinger equation we have constructed recently, in terms of wronskians; when we perform a special passage to the limit, we get quasi-rational solutions expressed as a ratio of two determinants. We have already construct breathers of orders</span><span> <i><span style=\"font-family:Verdana;\">N</span></i><span style=\"font-family:Verdana;\"> = 4, 5, 6</span></span><span style=\"font-family:Verdana;\"> in preceding works; we give here the breather of order seven.</span> 
</p>
%K Riemann Theta Functions
%K Fredholm Determinant
%K Wronskian
%K NLS Equation
%K Peregrine Breathers
%K Akhmediev Solutions
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=28330