10 citations · 29 across the 20 of their papers we have counts for
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Quadratic-Argument Approach to the Davey-Stewartson Equations
Xiaoping Xu
The Davey-Stewartson equations are used to describe the long time evolution of a three-dimensional packets of surface waves. Assuming that the argument functions are quadratic in s…
Multiple Parameter Function Approaches to the Equations of Dynamic Convection in a Sea
Xiaoping Xu
One of the most important topics in geophysics is to study convection in a sea. Based on the algebraic characteristics of the equations of dynamic convection in a sea, we introduce…
Polynomial Representation of and Its Combinatorial and PDE Implications
Xiaoping Xu
In this paper, we use partial differential equations to find the decomposition of the polynomial algebra over the basic irreducible module of into a sum of irreducible submod…
Algebraic Approaches to the geopotential Forecast and Nonlinear MHD Equations
Xiaoping Xu
In this paper, we use various anstazes motivated from our earlier works on transonic gas flows, boundary layer problems and Navier-Stokes equations to find new explicit exact solut…
Stable-Range Approach to Short Wave and Khokhlov-Zabolotskaya Equations
Xiaoping Xu
Short wave equations were introduced in connection with the nonlinear reflection of weak shock waves. They also relate to the modulation of a gas-fluid mixture. Khokhlov-Zabolotska…
Polynomial Representation of E6 and Its Combinatorial and PDE Implications
Xiaoping Xu
In this paper, we use partial differential equations to find the decomposition of the polynomial algebra over the basic irreducible module of E6 into a sum of irreducible submodule…