Invariances, conservation laws and conserved quantities of the two-dimensional nonlinear Schrodinger-type equation
Date
2014
Authors
Lepule, Seipati
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Abstract
Symmetries and conservation laws of partial di erential equations (pdes) have been
instrumental in giving new approaches for reducing pdes. In this dissertation, we
study the symmetries and conservation laws of the two-dimensional Schr odingertype
equation and the Benney-Luke equation, we use these quantities in the Double
Reduction method which is used as a way to reduce the equations into a workable
pdes or even an ordinary di erential equations. The symmetries, conservation laws
and multipliers will be determined though di erent approaches. Some of the reductions
of the Schr odinger equation produced some famous di erential equations that
have been dealt with in detail in many texts.
Description
A dissertation submitted to the Faculty of Science, University of the Witwatersrand, in fulfilment of the requirements for the degree of Master of Science.
Johannesburg, 2014.