The integrability of the coupled, modified KdV equation and the potential Boiti-Leon-Manna-Pempinelli (mKdV-BLMP) system is investigated using the Painlevé analysis approach. It is shown that this coupled system ...The integrability of the coupled, modified KdV equation and the potential Boiti-Leon-Manna-Pempinelli (mKdV-BLMP) system is investigated using the Painlevé analysis approach. It is shown that this coupled system possesses the Painlevé property in both the principal and secondary branches. Then, the consistent Riccati expansion (CRE) method is applied to the coupled mKdV-BLMP system. As a result, it is CRE solvable for the principal branch while non-CRE solvable for the secondary branch. Finally, starting from the last consistent differential equation in the CRE solvable case, soliton, multiple resonant soliton solutions and soliton-cnoidal wave interaction solutions are constructed explicitly.展开更多
Haematococcus pluvialis(H.pluvialis)is a critical natural source of astaxanthin,recognized for its potent antioxidantcapacity,anti-inflammatory properties,and ability to suppress the proliferation of breast and skin c...Haematococcus pluvialis(H.pluvialis)is a critical natural source of astaxanthin,recognized for its potent antioxidantcapacity,anti-inflammatory properties,and ability to suppress the proliferation of breast and skin cancer cells.The sizedifference between microalgae such as Chlorella vulgaris(C.vulgaris)and Haematococcus pluvialis(H.pluvialis),coupledwith their high research value,makes size-based separation of microalgae essential for efficient extraction of valuablespecies and advancing directed algal evolution.In this study,we introduce an innovative method utilizing microfluidicdevices that integrate spiral channels with contraction-expansion channels.We systematically examine how variablessuch as flow rate,cell concentration,cell size,and three distinct coupling configurations impact cell sorting.Our resultshighlight that each coupling configuration of the spiral and contraction-expansion channels exerts unique controlover sorting performance,offering promising new approaches for optimizing microchannel design.展开更多
The extended Jacobian elliptic function expansion method is introduced and applied to solve the coupled ZK equations and the coupled KP equations describing two weakly long nonlinear wave models in fluid system. Many ...The extended Jacobian elliptic function expansion method is introduced and applied to solve the coupled ZK equations and the coupled KP equations describing two weakly long nonlinear wave models in fluid system. Many types of doubly periodic traveling wave solutions are obtained. Under limiting conditions these solutions are reduced into solitary wave solutions.展开更多
基金Supported by the Natural Science Foundation of Zhejiang Province of China under Grant No LY14A010005
文摘The integrability of the coupled, modified KdV equation and the potential Boiti-Leon-Manna-Pempinelli (mKdV-BLMP) system is investigated using the Painlevé analysis approach. It is shown that this coupled system possesses the Painlevé property in both the principal and secondary branches. Then, the consistent Riccati expansion (CRE) method is applied to the coupled mKdV-BLMP system. As a result, it is CRE solvable for the principal branch while non-CRE solvable for the secondary branch. Finally, starting from the last consistent differential equation in the CRE solvable case, soliton, multiple resonant soliton solutions and soliton-cnoidal wave interaction solutions are constructed explicitly.
基金supported by National Natural Science Foundation of China(grant numbers 52075138,61964006 and 62364011)Hainan Province Science and Technology Special Fund(grant numbers ZDYF2022SHFZ301).
文摘Haematococcus pluvialis(H.pluvialis)is a critical natural source of astaxanthin,recognized for its potent antioxidantcapacity,anti-inflammatory properties,and ability to suppress the proliferation of breast and skin cancer cells.The sizedifference between microalgae such as Chlorella vulgaris(C.vulgaris)and Haematococcus pluvialis(H.pluvialis),coupledwith their high research value,makes size-based separation of microalgae essential for efficient extraction of valuablespecies and advancing directed algal evolution.In this study,we introduce an innovative method utilizing microfluidicdevices that integrate spiral channels with contraction-expansion channels.We systematically examine how variablessuch as flow rate,cell concentration,cell size,and three distinct coupling configurations impact cell sorting.Our resultshighlight that each coupling configuration of the spiral and contraction-expansion channels exerts unique controlover sorting performance,offering promising new approaches for optimizing microchannel design.
基金Project supported by the National Natural Science Foundation of China (Grant No.10272071)
文摘The extended Jacobian elliptic function expansion method is introduced and applied to solve the coupled ZK equations and the coupled KP equations describing two weakly long nonlinear wave models in fluid system. Many types of doubly periodic traveling wave solutions are obtained. Under limiting conditions these solutions are reduced into solitary wave solutions.
