Nonlinear dispersion in Nonlinear Schrodinger equation

Dipanshu Sharma^1*, Chun-Yan, Lin², Jen-Hsu Chang³, Ray-Kuang Lee^2,4

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, email:dipanshusharma7374@gmail.com

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