非线性微分方程对称和无穷级数解的符号计算研究

摘要

This paper includes three parts:
　　 PART I: A maple package to compute Lie symmetry groups and the symmetry reductions of (1+1)-dimensional nonlinear systems
　　 Armed with the computer algebra system Maple, using a direct algebraic substi-tution method, Lie point symmetries, Lie symmetry groups and the corresponding symmetry reductions of one component nonlinear integrable and nonintegrable equations could be ob tained only by clicking the

目录

PART Ⅰ：A maple package to compute Lie symmetry groups and the symmetry reductions of(1+1)-dimensional nonlinear systems

PART Ⅱ：Infinite series symmetry reduction solutions to the modified KdV-Burgers equation

PART Ⅲ：Approximate symmetries and infinite series symmetry reduction solutions to the perturbed Kuramoto-Sivashinsky equation

Acknowledgements

References

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