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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bilinear approaches in soliton theory I: Hirota direct method and its applications in (1+1)-dimensions
孤子理论 双线性方法 广田直接法 （1+1）维
2023/5/6
We will talk about the Hirota direct method and its applications to soliton solutions in (1+1)-dimensions. Both known and new examples of soliton equations will be discussed, and generalized bilinear ...
Development of the high-order decoupled direct method in three dimensions for particulate matter: enabling advanced sensitivity analysis in air quality models
the high-order decoupled direct method three dimensions for particulate matter sensitivity analysis air quality models
2014/12/11
The high-order decoupled direct method in three dimensions for particulate matter (HDDM-3D/PM) has been implemented in the Community Multiscale Air Quality (CMAQ) model to enable advanced sensitivity ...
An Efficient Direct Method to Solve the Three Dimensional Poisson’s Equation
Poisson’s Equation Finite Difference Method Tri-diagonal Matrix Hockney’s Method Thomas Algorithm
2013/1/30
In this work, the three dimensional Poisson’s equation in Cartesian coordinates with the Dirichlet’s boundary conditions in a cube is solved directly, by extending the method of Hockney. The Poisson e...
A direct method for solving the generalized sine-Gordon equation
generalized sine-Gordon equation direct method
2010/4/1
The generalized sine-Gordon (sG) equation was derived as an integrable generalization of the sG equation. In this paper, we develop a direct method for solving the generalized sG equation without reco...
Legendre multi-wavelets direct method for linear integro-differential equations
Integro-differential equation Legendre multi-wavelets
2010/9/13
We use the continuous Legendre multi-wavelets on the interval [0, 1) to solve the linear integro-differential equation. To do so, we reduced the problem into a system of algebraic equations. Illustrat...
A Direct Method for Assimilating Sea Surface Height Data into Ocean Models with Adjustments to the Deep Circulation
Assimilating Sea Surface Deep Circulation subsurface currents
2008/12/23
There is as yet no consensus an the best method for inserting surface data into ocean models so that appropriate information is transmitted to the deeper layers in a rapid and efficient manner. First ...
Generating Lie Point Symmetry Groups of (2+1)-Dimensional
Broer-Kaup Equation via a Simple Direct Method
symmetry groups CK direct method exact solution symmetries
2007/8/15
2005Vol.43No.6pp.1047-1052DOI:
Generating Lie Point Symmetry Groups of (2+1)-Dimensional
Broer-Kaup Equation via a Simple Direct Method
MA Hong-Cai
Department of Physics...