TY - JOUR
TI - Fractal modification of Schrödinger equation and its fractal variational principle
AU - Sun Jianshe
JN - Thermal Science
PY - 2023
VL - 27
IS - 3
SP - 2029
EP - 2037
PT - Article
AB - With the help of a new fractal derivative, a fractal model for variable  coefficients and highly non-linear Schrödinger equations on a non-smooth  boundary are acquired. The variational principles of the fractal variable  coefficients and highly non-linear Schrödinger equations are built  successfully by coupling fractal semi-inverse and He’s two-scale  transformation methods, which are helpful to reveal the symmetry, to  discover the conserved quantity, and the obtained variational principles  have widespread applications in numerical simulation.