THIRD-ORDER

作品数：222被引量：342H指数：8
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相关作者：姚庆六何捷唐长文闵昊洪志良更多>>
相关机构：南京财经大学扬州师范学院复旦大学东北师范大学更多>>
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相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金广东省自然科学基金更多>>
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Deep learning neural networks for the third-order nonlinear Schrodinger equation: bright solitons, breathers, and rogue waves被引量：3
《Communications in Theoretical Physics》2021年第10期55-63,共9页Zijian Zhou Zhenya Yan 
supported by the National Natural Science Foundation of China(Nos.11925108 and 11731014)。
The dimensionless third-order nonlinear Schrodinger equation(alias the Hirota equation) is investigated via deep leaning neural networks. In this paper, we use the physics-informed neural networks(PINNs) deep learning...
关键词：third-order nonlinear Schrodinger equation deep learning data-driven solitons data-driven parameter discovery 
A deep learning method for solving third-order nonlinear evolution equations被引量：7
《Communications in Theoretical Physics》2020年第11期19-29,共11页Jun Li Yong Chen 
the support of the National Natural Science Foundation of China(No.11675054);the Shanghai Collaborative Innovation Center of Trustworthy Software for Internet of Things(Grant No.ZF1213);the Science and Technology Commission of Shanghai Municipality(No.18dz2271000)。
It has still been difficult to solve nonlinear evolution equations analytically.In this paper,we present a deep learning method for recovering the intrinsic nonlinear dynamics from spatiotemporal data directly.Specifi...
关键词：deep learning nonlinear evolution equations soliton interaction nonlinear dynamics 
Third-Order Magnetic Susceptibility of an Ideal Fermi Gas被引量：1
《Communications in Theoretical Physics》2018年第11期619-624,共6页Long-Quan Lai Zhao Li Ya-Bin Yu Quan-Hui Liu 
Supported by National Natural Science Foundation of China under Grant No.11675051
At low temperature and under weak magnetic field, non-interacting Fermi gases reveal both Pauli paramagnetism and Landau diamagnetism, and the magnitude of the diamagnetic susceptibility is 1/3 of that of the paramagn...
关键词：FERMI gas THIRD-ORDER magnetic susceptibility PAULI PARAMAGNETISM LANDAU DIAMAGNETISM 
Symmetry Reduction of Initial-Value Problems for a Class of Third-order Evolution Equations被引量：2
《Communications in Theoretical Physics》2009年第7期55-59,共5页LI Ji-Na FENG Wei QI Xin-Lei ZHANG Shun-Li 
Supported by the National Natural Science Foundation of China under Grant Nos.10447007 and 10671156;the Natural Science Foundation of Shaanxi Province of China under Grant No.2005A13
Symmetry reduction of a class of third-order evolution equations that admit certain generalized conditionalsymmetries (GCSs) is implemented.The reducibility of the initial-value problem for an evolution equation to a ...
关键词：symmetry reduction third-order evolution equation Cauchy problem 
Bi-Hamiltonian Structure of a Third-Order Nonlinear Evolution Equation on Plane Curve Motions
《Communications in Theoretical Physics》2007年第2X期211-214,共4页REN Wen-Xiu Alatancang 
The project supported by National Natural Science Foundation of China under Grant No. 10562002 and the Natural Science Foundation of Inner Mongolia under Grant No. 200508010103
In the present paper, we identify the integrability of the third-order nonlinear evolution equation ut = （1/2）（（uxz ＋ u）^-2）z in a Hamiltonian viewpoint. We prove that the recursion operator obtained by S.Yu. S...
关键词：nonlinear evolution equation bi-Hamiltonian structure hereditary operator INTEGRABILITY 
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