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.

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.

Lie group analysis is applied to a mathematical model for thin liquid films, namely nonlinear fourth order partial differential equation in two independent variables. A three-dimensional symmetry algebra found and reductions ordinary equations are obtained by using its one-dimensional subalgebras. Two of these studied the reduction method Jacobi last multiplier method, be linearizable. Furtherm...

Risk generated by uncertainty about future management policies appears to affect firms’ cost of borrowing. In a sample of S&P 1500 firms between 1987 and 2012, CDS spreads, loan spreads and bond yield spreads all decline over the first three years of CEO tenure, holding other macroeconomic, firm, and security level factors constant. This decline occurs regardless of the reason for the prior CEO...

The nonclassical symmetries method is applied to a class of reaction-diffusion equations with nonlinear source, i.e. ut=uxx+cux+R(u, x). Several cases are obtained by using suitable solutions the heir-equations as described in [M.C. Nucci, Nonclassical special heir-equations, J. Math. Anal. Appl. 279 (2003) 168–179].