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In this paper, based on symbolic computation, we apply the Pfaffianization procedure of Ohta and Hirota to the variable-coefficient mKP (vcmKP) equation. We first present the N-soliton solutions in terms of Grammian determinant by employing the bilinear formalism . Then by applying the method of Pfaffianization to the vcmKP case, we derive the bilinear form of the Pfaffianized vcmKP equation. Finally...
A new controller for the optimization of the movement of an exploration vehicle is proposed in this paper. Measurements of obstacle and goal's distance and direction are anticipated to be imprecise however, because the performance of ultrasonic sensors is degraded in complex environments. So a support vector machine is presented that can determine a trajectory for an exploration vehicle through unknown...
In this paper, generalized Wronskian solutions of a non-isospectral equation, the MKdV equation with loss and non-uniformity terms, are obtained through the Wronskian technique. Furthermore, by choosing appropriate spectral parameters, the complexiton solutions of the MKdV equation with loss and non-uniformity terms are generated.
In this paper, the bilinear Backlund transformation are derived to a non-isospectral equation, the KdV equation with loss and non-uniformity terms, from which the generalized Wronskian solutions can be obtained.
CUDA is a new computing architecture introduced by NVIDIA Corporation, aiming at general purpose computation on GPU. The architecture has strong compute power in the compute-intensive applications and data-intensive applications, so in recent years, how the framework is applied to the scientific computing has become a hot research. The iterative method for solving systems of linear equations in engineering...
In this paper, based on symbolic computation, the Jacobi elliptic function rational expansion method is extended to uniformly construct more new exact solutions for the generalized derivative Schrodinger equation with nonlinear terms of any order. As a result, some new Jacobi elliptic function solutions are obtained. Of course, some new hyperbolic function solutions or triangular periodic function...
In this paper, the generalized Wronskian condition equations are derived to the KdV equation with loss and non-uniformity terms, from which the generalized Wronskian solutions can be obtained. Moreover, an example of real complexiton solution is exhibited.
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