Vol. 6 No. 1 (2022): Special Issue in Honor of Professor Ravi P. Agarwal
Articles

Reductions and exact solutions of a cubic schrodinger partial differential equation

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  • Phetogo Masemola T,
  • Thilivhali Phidane A S
Phetogo Masemola T
School of Mathematics, Faculty of Science, University of the Witwatersrand, Johannesburg, South Africa.
Thilivhali Phidane A S
School of Mathematics, Faculty of Science, University of the Witwatersrand, Johannesburg, .
DOI: https://doi.org/10.26524/cm119
Published March 17, 2022
Keywords
  • Wave equation, nonlinear Schr¨odinger equation, symmetries, multipliers, conservation laws, double reduction
How to Cite
T, P. M., & A S, T. P. (2022). Reductions and exact solutions of a cubic schrodinger partial differential equation. Journal of Computational Mathematica, 6(1), 041 - 055. https://doi.org/10.26524/cm119

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.

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