On Black-Scholes equation; method of Heir-equations‎, ‎nonlinear self-adjointness and conservation laws

Document Type : Research Paper


Department of Mathematics‎, ‎Basic Science Faculty‎, ‎University of Bonab‎, ‎P.O‎. ‎Box 55517-61167‎, ‎Bonab‎, ‎Iran.


In this paper, Heir-equations method is applied to investigate nonclassical symmetries and new solutions of the Black-Scholes equation. Nonlinear self-adjointness is proved and infinite number of conservation laws are computed by a new conservation laws theorem.


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