With the assistance of the symbolic computation system Maple,rich higher order polynomial-type conservation laws and a sixth order t/x-dependent conservation law are constructed for a generalized seventh order nonline...With the assistance of the symbolic computation system Maple,rich higher order polynomial-type conservation laws and a sixth order t/x-dependent conservation law are constructed for a generalized seventh order nonlinear evolution equation by using a direct algebraic method.From the compatibility conditions that guaranteeing the existence of conserved densities,an integrable unnamed seventh order KdV-type equation is found.By introducing some nonlinear transformations,the one-,two-,and three-solition solutions as well as the solitary wave solutions are obtained.展开更多
Problem of goal-setting is related to the fundamental principles of informationology and general, rather than specific, aproaches, which enable a more adequate appraisal of certain managerial decisions in terms of the...Problem of goal-setting is related to the fundamental principles of informationology and general, rather than specific, aproaches, which enable a more adequate appraisal of certain managerial decisions in terms of their efficiency. In article this problem is considered and from positions of informationology is formulated and on the basis of a method of full mathematical induction the Law of positive dynamics of the Universe is proved. This law establishes preference of the positive purposes in all processes happening in the Universe. Thus, the goal-setting which is carried out from positions of the described Law is the important world outlook prerequisite searching, identification and development of strategic alternatives of purposeful social innovations.展开更多
文摘With the assistance of the symbolic computation system Maple,rich higher order polynomial-type conservation laws and a sixth order t/x-dependent conservation law are constructed for a generalized seventh order nonlinear evolution equation by using a direct algebraic method.From the compatibility conditions that guaranteeing the existence of conserved densities,an integrable unnamed seventh order KdV-type equation is found.By introducing some nonlinear transformations,the one-,two-,and three-solition solutions as well as the solitary wave solutions are obtained.
文摘Problem of goal-setting is related to the fundamental principles of informationology and general, rather than specific, aproaches, which enable a more adequate appraisal of certain managerial decisions in terms of their efficiency. In article this problem is considered and from positions of informationology is formulated and on the basis of a method of full mathematical induction the Law of positive dynamics of the Universe is proved. This law establishes preference of the positive purposes in all processes happening in the Universe. Thus, the goal-setting which is carried out from positions of the described Law is the important world outlook prerequisite searching, identification and development of strategic alternatives of purposeful social innovations.
