in this present work, the kudryashov method and the functional variable method are used to construct exact solutions of the complex kdv equation. the kudryashov method and the functional variable method are powerful methods for obtaining exact solutions of nonlinear evolution equations.

Recently considerable attention has been given to the study of risk-sensitive stochasic control problems 1]-13]. Risk-sensitive control is a generalization of the risk-neutral approach, in which we seek to minimize an exponential of the sum of costs. In particular, there has been work on risk-sensitive Markov Decision Processes (MDPs) { i.e., discrete-time problems with a nite or countable stat...

Semilinear stochastic evolution equations with multiplicative L'evy noise are considered‎. ‎The drift term is assumed to be monotone nonlinear and with linear growth‎. ‎Unlike other similar works‎, ‎we do not impose coercivity conditions on coefficients‎. ‎We establish the continuous dependence of the mild solution with respect to initial conditions and also on coefficients. ‎As corollaries of ...