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Exact solitary wave solutions for nonlinear wave equations using symbolic computation. (Chinese. English summary) Zbl 0893.65066

The use of symbolic computations on the computer for solving engineering and scientific problems is gaining more and more attention. This paper represents such an attempt. It uses the mechanized mathematical, symbolic computations and the Wu’s elimination method to find the exact solutions of nonlinear evolution equations. An algorithm for constructing solitary wave solutions for a class of nonlinear evolution equations is given and implemented in a computer algebraic system.
The use of symbolic computations on a computer as tools for finding exact solutions for wave equations and problems in partial differential equations in general is really refreshing.
Reviewer: M.-Y.Wu (Boulder)

MSC:

65Z05 Applications to the sciences
35L70 Second-order nonlinear hyperbolic equations
68W30 Symbolic computation and algebraic computation
35K55 Nonlinear parabolic equations
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