55 citations · 102 across the 21 of their papers we have counts for
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Closed form Solutions to Some Nonlinear equations by a Generalized Cole-Hopf Transformation
Mayer Humi
In the first part of this paper we linearize and solve the Van der Pol and Lienard equations with some additional nonlinear terms by the application of a generalized form of Cole-H…
On the Solution of the Van der Pol Equation
Mayer Humi
We linearize and solve the Van der Pol equation (with additional nonlinear terms) by the application of a generalized form of Cole-Hopf transformation. We classify also Lienard equ…
Convective Equations and a Generalized Cole-Hopf Transformation
Mayer Humi
Differential equations with convective terms such as the Burger's equation appear in many applications and have been the subject of intense research. In this paper we use a general…
A Generalized Cole-Hopf Transformation for Nonlinear ODES
Mayer Humi
We introduce a hybrid Cole-Hopf-Darboux transformation to relate solutions of nonlinear and linear second order differential equations and derive a sufficient condition for this co…
Separation of Coupled Systems of Schrodinger Equations by Darboux transformations
Mayer Humi
Darboux transformations in one independent variable have found numerous applications in various field of mathematics and physics. In this paper we show that the extension of these…
Fractional Darboux Transformations
Mayer Humi
In this paper we utilize the covariance of Ricatti equation with respect to linear fractional transformations to define classes of conformally equivalent second order differential…