In this paper, an improved projective approach is used to obtain the variable separation solutions with two arbitrary functions of the （2＋l）-dimensional Broek-Kaup equation with variable coefficients （VCBK）. Base...In this paper, an improved projective approach is used to obtain the variable separation solutions with two arbitrary functions of the （2＋l）-dimensional Broek-Kaup equation with variable coefficients （VCBK）. Based on the derived solitary wave solution and using a known chaotic system, some novel chaotic solutions are investigated.展开更多
In recent years, various chaotic equation based pseudorandom number generators have been proposed. However, the chaotic equations are all defined in the real number field. In this paper, an equation is proposed and pr...In recent years, various chaotic equation based pseudorandom number generators have been proposed. However, the chaotic equations are all defined in the real number field. In this paper, an equation is proposed and proved to be chaotic in the imaginary axis. And a pseudorandom number generator is constructed based on the chaotic equation. The alteration of the definitional domain of the chaotic equation from the real number field to the complex one provides a new approach to the construction of chaotic equations, and a new method to generate pseudorandorn number sequences accordingly. Both theoretical analysis and experimental results show that the sequences generated by the proposed pseudorandom number generator possess many good properties.展开更多
基金supported by the Natural Science Foundation of Zhejiang Province of China (Grant Nos. Y6100257 and Y6090681)the Natural Science Foundation of Zhejiang Lishui University (Grant Nos. KZ09005 and KY08003)
文摘In this paper, an improved projective approach is used to obtain the variable separation solutions with two arbitrary functions of the （2＋l）-dimensional Broek-Kaup equation with variable coefficients （VCBK）. Based on the derived solitary wave solution and using a known chaotic system, some novel chaotic solutions are investigated.
基金Project supported by the National Natural Science Foundation of China (Grant No. 60973162)the Natural Science Foundation of Shandong Province, China (Grant No. ZR2009GM037)+1 种基金the Science and Technology of Shandong Province, China(Grant No. 2010GGX10132)the Key Program of the Natural Science Foundation of Shandong Province, China (Grant No. Z2006G01)
文摘In recent years, various chaotic equation based pseudorandom number generators have been proposed. However, the chaotic equations are all defined in the real number field. In this paper, an equation is proposed and proved to be chaotic in the imaginary axis. And a pseudorandom number generator is constructed based on the chaotic equation. The alteration of the definitional domain of the chaotic equation from the real number field to the complex one provides a new approach to the construction of chaotic equations, and a new method to generate pseudorandorn number sequences accordingly. Both theoretical analysis and experimental results show that the sequences generated by the proposed pseudorandom number generator possess many good properties.
