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math-ph2008★ 1 cited
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…
math-ph2008★ 1 cited
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…
math-ph2008
Quadratic-Argument Approach to Nonlinear Schrodinger Equation and Coupled Ones
Xiaoping Xu
The two-dimensional cubic nonlinear Schrödinger equation is used to describe the propagation of an intense laser beam through a medium with Kerr nonlinearity. The coupled two-dimen…