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Your search keyword '"Li-Xin, Tian"' showing total 5 results
Start Over Author "Li-Xin, Tian" Journal applied mathematics & mechanics
5 results on '"Li-Xin, Tian"'

1. Wavelet approximate inertial manifold and numerical solution of Burgers' equation.

Author

Li-xin, Tian, Bo-qiang, Xu, and Zeng-rong, Liu

Subjects
*NUMERICAL solutions to equations, *WAVELETS (Mathematics), *GALERKIN methods, *PARTIAL differential equations, *MANIFOLDS (Mathematics), *NUMERICAL analysis
Abstract

The existence of approximate inertial manifold using wavelet to Burgers' equation, and numerical solution under multiresolution analysis with the low modes were studied. It is shown that the Burgers' equation has a good localization property of the numerical solution distinguishably. [ABSTRACT FROM AUTHOR]

Published
2002
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2. The concave or convex peaked and smooth soliton solutions of Camassa-Holm equation.

Author

Li-xin Tian, Gang Xu, and Zeng-rong Liu

Subjects
*SOLITONS, *CONCAVE functions, *CONVEX functions, *BACKLUND transformations, *NUMERICAL solutions to equations
Abstract

The traveling wave soliton solutions and pair soliton solution to a class of new completely integrable shallow water equation, Camassa-Holm equation are studied. The concept of concave or convex peaked soliton and smooth soliton were introduced. And the research shows that the traveling wave solution of that equation possesses concave and convex peaked soliton and smooth soliton solutions with the peakson. Simultaneously by applying Backlund transformation the new pair soliton solutions to this class of equation are given. [ABSTRACT FROM AUTHOR]

Published
2002
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3. Local attractors for weakly damped forced KdV equation in thin 2D domains.

Author

Li-xin, Tian, Yu-rong, Liu, and Zeng-rong, Liu

Subjects
*ATTRACTORS (Mathematics), *DAMPING (Mechanics), *KORTEWEG-de Vries equation, *NONSELFADJOINT operators, *WAVE equation
Abstract

The existence of local attractors in thin 2D domains for the weakly damped forced KdV equation, whose principal operator is a non-self adjoint and non-sectorial one is given. [ABSTRACT FROM AUTHOR]

Published
2000
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4. Numerical analysis of longtime dynamic behavior in weakly damped forced KdV equation.

Author

Li-xin, Tian, Zhi-jun, Chu, Zeng-rong, Liu, and Yong, Jiang

Subjects
*NUMERICAL analysis, *INERTIA (Mechanics), *VIBRATION isolation, *KORTEWEG-de Vries equation, *MATHEMATICAL models
Abstract

The numerical analysis of the approximate inertial manifold in weakly damped forced KdV equation is given. The results of numerical analysis under five models is the same as that of nonlinear spectral analysis. [ABSTRACT FROM AUTHOR]

Published
2000
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