English

Reductions and exact solutions of a cubic Schrodinger Partial Differential Equation

Analysis of PDEs 2019-12-13 v1

Abstract

Lie symmetry analysis is an established method for generating symmetries of differential equations. We apply this method together the generalized fundamental theorem of double reduction. In particular, Noether symmetries and some associated conservation laws are constructed in our investigation to find exact solutions of higher order partial differential equations and complex partial differential equations.

Keywords

Cite

@article{arxiv.1912.05816,
  title  = {Reductions and exact solutions of a cubic Schrodinger Partial Differential Equation},
  author = {Phetogo Masemola and Thilivhali Phidane},
  journal= {arXiv preprint arXiv:1912.05816},
  year   = {2019}
}