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Your search keyword '"Li-Xin, Tian"' showing total 3 results
Start Over Author "Li-Xin, Tian" Topic numerical solutions to equations
3 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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