In this paper, the dispersive long wave equation is studied by Lie symmetry group theory. Firstly, the Lie symmetries of this system are calculated. Secondly, one dimensional optimal systems of Lie algebra and all the...In this paper, the dispersive long wave equation is studied by Lie symmetry group theory. Firstly, the Lie symmetries of this system are calculated. Secondly, one dimensional optimal systems of Lie algebra and all the symmetry reductions are obtained. Finally, based on the power series method and the extended Tanh function method, some new explicit solutions of this system are constructed.展开更多
The technological innovation of thin-film lithium niobate(TFLN)is supplanting the traditional lithium niobate industry and generating a vast array of ultra-compact and low-loss optical waveguide devices,providing an u...The technological innovation of thin-film lithium niobate(TFLN)is supplanting the traditional lithium niobate industry and generating a vast array of ultra-compact and low-loss optical waveguide devices,providing an unprecedented prospect for chip-scale integrated optics.Because of its unique strong quadratic nonlinearity,TFLN is widely used to create new coherent light,which significantly promotes all-optical signal processes,especially in terms of speed.Herein,we review recent advances in TFLN,review the thorough optimization strategies of all-optical devices with unique characteristics based on TFLN,and discuss the challenges and perspectives of the developed nonlinear devices.展开更多
文摘In this paper, the dispersive long wave equation is studied by Lie symmetry group theory. Firstly, the Lie symmetries of this system are calculated. Secondly, one dimensional optimal systems of Lie algebra and all the symmetry reductions are obtained. Finally, based on the power series method and the extended Tanh function method, some new explicit solutions of this system are constructed.
基金supported by the National Key R&D Program of China(No.2021YFB2800700)the National Natural Science Foundation of China(Nos.62275047,61875241,and 22102023)+1 种基金the Fellowship of China Postdoctoral Science Foundation(Nos.2021M700768 and 2022M710672)the Natural Science Foundation of Jiangsu Province(No.BK20220816).
文摘The technological innovation of thin-film lithium niobate(TFLN)is supplanting the traditional lithium niobate industry and generating a vast array of ultra-compact and low-loss optical waveguide devices,providing an unprecedented prospect for chip-scale integrated optics.Because of its unique strong quadratic nonlinearity,TFLN is widely used to create new coherent light,which significantly promotes all-optical signal processes,especially in terms of speed.Herein,we review recent advances in TFLN,review the thorough optimization strategies of all-optical devices with unique characteristics based on TFLN,and discuss the challenges and perspectives of the developed nonlinear devices.
基金National Natural Science Foundation of China(Grant No.81470390)Shanghai Municipal Education Commission-Gaofeng Clinical Medicine Grant Support(Grant No.20152218)+1 种基金Shanghai Sailing Program(Grant No.19YF1431700)Clinical Trial of Xinhua Hospital(Grant No.15LC11)。