In the present work, a construction making possible creation of an additive channel of cardinality s and rank r for arbitrary integers s, r, n (r≤min (n,s-1)), as well as creation of a code correcting err...In the present work, a construction making possible creation of an additive channel of cardinality s and rank r for arbitrary integers s, r, n (r≤min (n,s-1)), as well as creation of a code correcting errors of the channel A is presented.展开更多
In this paper,we primarily investigate several exact solutions of the(2+1)-dimensional KdV equation and summarize the trajectory equations after collisions between these solutions.Using the bilinear form with specific...In this paper,we primarily investigate several exact solutions of the(2+1)-dimensional KdV equation and summarize the trajectory equations after collisions between these solutions.Using the bilinear form with specific test functions and the parameter limiting technique,we construct T-order breather solutions,L-order lump solutions,and hybrid solutions.On this basis,we examine the close relationship between the positions of breather solutions and the parameters,the motion trajectories resulting from the interaction of lump solutions,as well as the trajectories of a single lump before and after its collision with higher-order soliton solutions.展开更多
文摘In the present work, a construction making possible creation of an additive channel of cardinality s and rank r for arbitrary integers s, r, n (r≤min (n,s-1)), as well as creation of a code correcting errors of the channel A is presented.
基金supported by the National Natural Science Foundation of China(Grant No.12461047)the Scientific Research Project of the Hunan Education Department(Grant No.24B0478).
文摘In this paper,we primarily investigate several exact solutions of the(2+1)-dimensional KdV equation and summarize the trajectory equations after collisions between these solutions.Using the bilinear form with specific test functions and the parameter limiting technique,we construct T-order breather solutions,L-order lump solutions,and hybrid solutions.On this basis,we examine the close relationship between the positions of breather solutions and the parameters,the motion trajectories resulting from the interaction of lump solutions,as well as the trajectories of a single lump before and after its collision with higher-order soliton solutions.
