A new strategy is proposed to analytically construct stochastic fractional solutions of a wick-type SFNLSE driven from the Brownian motion by altogether using the Hermite transformation, modified ...Riemann-Liouville fractional derivative rule and fractional mapping method with white noise theory. These stochastic fractional solutions include fractional bright, dark solitons and trigonometric function solutions with or without chirped phase. By the dynamical analysis of stochastic solutions, it is found that the evolution of soliton shows randomness and random wave packets appear. Moreover, the randomness of integer order soliton evolution becomes more obvious compared with fractional solitons. They have discontinuous random phenomena with the evolution of time t, and some random independent wave packets appear. These results will play an important role in the related research on the physical application of the random model in the white noise environment.
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In this paper an improved suspension system of a four-wheel vehicle is designed to minimize the vehicle floor vibrations. A seven degree-of-freedom full car model of vehicle system is modelled using ...the linear approach and is excited under the uncertain road inputs approximated by the white noise function. Vehicle acceleration in bounce, pitch and roll along with suspension displacement are the multiple parameters blended into single objective function to be minimized through proper allocation of weightages to each sub-objective based on real implications. The modified suspension system with optimum parameters results in improvement in the dynamic characteristic. Computer simulation through MATLAB-Simulink is providing an approximate solution against expensive and time taking experimentation.
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