Application of Symbolic Computation in Non-isospectral KdV Equation

Zhang, Yuanyuan

doi:10.1007/978-3-642-25908-1_35

Yuanyuan Zhang²

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 126))

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Abstract

In this paper, new exact solutions of a non-isospectral and variable-coefficient KdV (vcKdV) equation are discussed. In the past the Wronskian technique had been used to solve the isospectral KdV equation. In this paper, by means of symbolic computation system Maple, we generalized the Wronskian technique to the vcKdV equation. As a result, some new complexiton solutions of the vcKdV equation are obtained.

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Authors and Affiliations

College of Science, China Three Gorges University, Yichang, Hubei, 443002, P.R. China
Yuanyuan Zhang

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Yuanyuan Zhang
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Correspondence to Yuanyuan Zhang .

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Technology and Engineering, Society on Social Implications of, Majeedhee Magu, M.Nalahiyaage, Malé, 20274, Maldives
Khine Soe Thaung

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Zhang, Y. (2012). Application of Symbolic Computation in Non-isospectral KdV Equation. In: Thaung, K. (eds) Advanced Information Technology in Education. Advances in Intelligent and Soft Computing, vol 126. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25908-1_35

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DOI: https://doi.org/10.1007/978-3-642-25908-1_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25907-4
Online ISBN: 978-3-642-25908-1
eBook Packages: EngineeringEngineering (R0)

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