Hashemi, M. (2016). On Black-Scholes equation; method of Heir-equations, nonlinear self-adjointness and conservation laws. Bulletin of the Iranian Mathematical Society, 42(4), 903-921.

M. S. Hashemi. "On Black-Scholes equation; method of Heir-equations, nonlinear self-adjointness and conservation laws". Bulletin of the Iranian Mathematical Society, 42, 4, 2016, 903-921.

Hashemi, M. (2016). 'On Black-Scholes equation; method of Heir-equations, nonlinear self-adjointness and conservation laws', Bulletin of the Iranian Mathematical Society, 42(4), pp. 903-921.

Hashemi, M. On Black-Scholes equation; method of Heir-equations, nonlinear self-adjointness and conservation laws. Bulletin of the Iranian Mathematical Society, 2016; 42(4): 903-921.

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

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

Receive Date: 01 December 2014,
Revise Date: 24 March 2015,
Accept Date: 30 May 2015

Abstract

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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