Nonlinear dispersion in Nonlinear Schrodinger equation
Dipanshu Sharma1*, Chun-Yan, Lin2, Jen-Hsu Chang3, Ray-Kuang Lee2,4
1Department of Physics, National Tsing Hua University, Hsinchu, Taiwan
2Institute of Photonics Technologies, National Tsing Hua University, Hsinchu, Taiwan
3Graduate School of National Defense University, Taoyuan, Taiwan
4Physics Division, National Center for Theoretical Sciences, Hsinchu, Taiwan
* Presenter:Dipanshu Sharma,
By introducing the nonlinear dispersion into nonlinear Schrodinger equation, with pseudo-potential method, we reveal the supported soliton solutions on the competition between Kerr-type nonlinearity and nonlinear dispersion. The stabilities of these soliton solutions are also analyzed and confirmed both by Vakhitov-Kolokolov (VK) stability criterion and by the numerical propagations.

Keywords: Lagrangian density, Pseudo-potential