Self-similarity analysis of the non-linear Schr\"odinger equation in the Madelung form
2018
In the present study a particular case of Gross-Pitaevskii or non-linear Schrodinger equation is rewritten to a form similar to a hydrodynamic Euler equation using the Madelung transformation. The obtained system of differential equations is highly nonlinear. Regarding solutions, a larger coefficient of the nonlinear term yields stronger deviation of the solution from the linear case.
Keywords:
- Correction
- Cite
- Save
- Machine Reading By IdeaReader
0
References
0
Citations
NaN
KQI