47 citations · 200 across the 12 of their papers we have counts for
12 papers
Lie Symmetry Analysis of the Black-Scholes-Merton Model for European Options with Stochastic Volatility
A. Paliathanasis, K. Krishnakumar, K. M. Tamizhmani +1
We perform a classification of the Lie point symmetries for the Black--Scholes--Merton Model for European options with stochastic volatility, , in which the last is defined by a…
Symmetries and reductions of order for certain nonlinear third and second-order differential equations with arbitrary nonlinearity
K. M. Tamizhmani, K. Krishnakumar, P. G. L. Leach
We examine the reductions of the order of certain third- and second-order nonlinear equations with arbitrary nonlinearity through their symmetries and some appropriate transformati…
Integrability properties of the dispersionless Kadomtsev-Petviashvili hierarchy
Wei Fu, R. Ilangovane, K. M. Tamizhmani +1
In the paper we investigate integrability characteristics for the dispersionless Kadomtsev-Petviashvili hierarchy. These characteristics include symmetries, Hamiltonian structures…
Discrete Painleve II equation over finite fields
Masataka Kanki, Jun Mada, K. M. Tamizhmani +1
We investigate the discrete Painleve II equation over finite fields. We treat it over local fields and observe that it has a property that is similar to the good reduction over fin…
Lagrangians for biological models
M. C. Nucci, K. M. Tamizhmani
We show that a method presented in [S.L. Trubatch and A. Franco, Canonical Procedures for Population Dynamics, J. Theor. Biol. 48 (1974), 299-324] and later in [G.H. Paine, The dev…
On solutions to the non-Abelian Hirota-Miwa equation and its continuum limits
C. X. Li, J. J. C. Nimmo, K. M. Tamizhmani
In this paper, we construct grammian-like quasideterminant solutions of a non-Abelian Hirota-Miwa equation. Through continuum limits of this non-Abelian Hirota-Miwa equation and it…