Exact N-envelope-soliton solutions of the Hirota equation

• Main Author: Shu, Jian Jun
• Other Authors: School of Mechanical and Aerospace Engineering
• Format: Article
• Language: English
• Published: 2011
• Subjects: DRNTU::Engineering::Mathematics and analysis
• Online Access: https://hdl.handle.net/10356/100755; http://hdl.handle.net/10220/7222; http://www.if.pwr.wroc.pl/~optappl/article.php?lp=322
• Institution: Nanyang Technological University

We discuss some properties of the soliton equations of the type ∂u/∂t = S[u, ū], where S is a nonlinear operator differential in x, and present the additivity theorems of the class of the soliton equations. On using the theorems, we can construct a new soliton equation through two soliton equations...