The consistent tanh expansion(CTE) method is employed to the(2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada(CDGKS) equation. The interaction solutions between solitons and the cnoidal periodic waves are explic...The consistent tanh expansion(CTE) method is employed to the(2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada(CDGKS) equation. The interaction solutions between solitons and the cnoidal periodic waves are explicitly obtained. Concretely, we discuss a special kind of interaction solution in the form of tanh functions and Jacobian elliptic functions in both analytical and graphical ways. The results show that the profiles of the soliton-cnoidal periodic wave interaction solutions can be designed by choosing different values of wave parameters.展开更多
Rapid advances in molecular biology and biotechnology have substantially transformed the research field of phytopathology during past two decades.The establishment of the fundamental framework of plant innate immunity...Rapid advances in molecular biology and biotechnology have substantially transformed the research field of phytopathology during past two decades.The establishment of the fundamental framework of plant innate immunity(Dodds and Rathjen,2010)has provided a springboard for molecular dissection of the interactions between key crop species and diverse phytopathogens.The application of next-generation sequencing technologies in major domains of phytopathology research has advanced the understanding of the transcriptome reprogramming of plant disease resistance or susceptibility,the composition of plant-associated microbiomes,and the genetics underlying the quantitative variation in disease resistance across host populations.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.11505154the Zhejiang Provincial Natural Science Foundation of China under Grant No.LQ16A010003the Scientific Research Foundation for Doctoral Program of Zhejiang Ocean University under Grant No.Q1511
文摘The consistent tanh expansion(CTE) method is employed to the(2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada(CDGKS) equation. The interaction solutions between solitons and the cnoidal periodic waves are explicitly obtained. Concretely, we discuss a special kind of interaction solution in the form of tanh functions and Jacobian elliptic functions in both analytical and graphical ways. The results show that the profiles of the soliton-cnoidal periodic wave interaction solutions can be designed by choosing different values of wave parameters.
文摘Rapid advances in molecular biology and biotechnology have substantially transformed the research field of phytopathology during past two decades.The establishment of the fundamental framework of plant innate immunity(Dodds and Rathjen,2010)has provided a springboard for molecular dissection of the interactions between key crop species and diverse phytopathogens.The application of next-generation sequencing technologies in major domains of phytopathology research has advanced the understanding of the transcriptome reprogramming of plant disease resistance or susceptibility,the composition of plant-associated microbiomes,and the genetics underlying the quantitative variation in disease resistance across host populations.