Corpus ID: 236493554

Modified Emden and the corresponding standard PDM dynamical equations: exact solvability and classical-states crossings

@inproceedings{Mustafa2021ModifiedEA,
  title={Modified Emden and the corresponding standard PDM dynamical equations: exact solvability and classical-states crossings},
  author={Omar Mustafa},
  year={2021}
}
We introduce the position-dependent mass (PDM) settings for the modified Emden equation (MEE). To work out exact solutions for the PDM-MEE, we use the most general solution for the simple harmonic oscillator’s dynamical equation (i.e., the initial conditions shall be identified by the PDM-MEE problem at hand) and report the most general solution for the MEE. In so doing, we use a nonlocal point transformation. Next, we map MEE-solution into the corresponding PDMMEE. Two PDM-MEE-type classical… Expand
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