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A procedure for obtaining the initial value of the costate in a regular, finite-horizon, nonlinear-quadratic problem is devised in dimension one. The optimal control can then be constructed from the solution to the Hamil...

Abstract This paper investigates the initial-boundary value problem for quasilinear strictly hyperbolic systems of diagonal form with characteristics which are partially linearly degenerate and partially weakly linearly ...

Abstract In this paper, we investigate the dynamical behaviour and soliton solutions of the M-fractional Kairat-II equation. Initially, soliton solutions are obtained using the new extended direct algebraic method. To en...