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
After generalizing the Clarkson-Kruskal direct similarity reduction ansatz, one can obtain various newtypes of reduction equations. Especially, some lower-dimensional turbulent systems or chaotic systems may be obtain...After generalizing the Clarkson-Kruskal direct similarity reduction ansatz, one can obtain various newtypes of reduction equations. Especially, some lower-dimensional turbulent systems or chaotic systems may be obtainedfrom the general form of the similarity reductions of a higher-dimensional Lax integrable model. Furthermore, anarbitrary three-order quasi-linear equation, which includes the Korteweg de-Vries Burgers equation and the generalLorenz equation as two special cases, has been obtained from the reductions of the (2+1)-dimensional dispersive longwave equation system. Some types of periodic and chaotic solutions of the system are also discussed.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.
基金国家杰出青年科学基金，the Research Fund for Doctoral Program of HigherEducation of China，国家自然科学基金
文摘After generalizing the Clarkson-Kruskal direct similarity reduction ansatz, one can obtain various newtypes of reduction equations. Especially, some lower-dimensional turbulent systems or chaotic systems may be obtainedfrom the general form of the similarity reductions of a higher-dimensional Lax integrable model. Furthermore, anarbitrary three-order quasi-linear equation, which includes the Korteweg de-Vries Burgers equation and the generalLorenz equation as two special cases, has been obtained from the reductions of the (2+1)-dimensional dispersive longwave equation system. Some types of periodic and chaotic solutions of the system are also discussed.
