Evolution equations for pulse propagation in nonlinear media

Autor:	Pal, Debabrata, Choudhuri, Amitava, Talukdar, B
Rok vydání:	2009
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
Popis:	We show that the complex modified KdV (cmKdV) equation and generalized nonlinear Schr\"odinger (GNLS) equation belong to the Ablowitz, Kaup, Newell and Segur or so-called AKNS hierarchy. Both equations do not follow from the action principle and are nonintegrable. By introducing some auxiliary fields we obtain the variational principle for them and study their canonical structures. We make use of a coupled amplitude-phase method to solve the equations analytically and derive conditions under which they can support bright and dark solitary wave solutions. Comment: 10 pages, no figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0906.5054 Zobrazit plný text záznamu View this record from Arxiv